Description : What is the volume of a parallelepiped whose sides are given by the vectors a 3i plus wj plus k b -i plus 3j and c 2i plus 2j plus 5k?
Last Answer : What is the answer ?
Description : Show that vectors a = 2i + 3j + 6k, b = 3i - 6j + 2k and c = 6i + 2j - 3k are mutually perpendicular.
Last Answer : Show that vectors a = 2i + 3j + 6k, b = 3i - 6j + 2k and c = 6i + 2j - 3k are mutually perpendicular.
Description : The cross product of the vectors 3i + 4j – 5k and –i + j – 2k is, a) 3i – 11j + 7k b) -3i + 11j + 7k c) -3i – 11j – 7k d) -3i + 11j – 7k
Last Answer : Answer: b Explanation: Cross product of two vectors is, A X B = (a2*b3 – b2*a3)i – (a1*b3 – b1*a3)j + (a1*b2 – b1*a2)k. Using the formula, the answer can be calculated.
Description : A couple consists of a force P acting at a point A whose coordinates are (-1,2,4) m and force - F acting at a point whose coordinates are (2,3, -2)m. If F = 3i + 2j - 4k in kg units the moment of the couple in kg - m ... .8i - 6j - 3k b.12i - 3j + k c.16i - 12j - 6k d.4i - 3j + k e.8i + 5j + 3k
Last Answer : a. 8i - 6j - 3k
Description : A force F = 4i + 6j + 3k acting on a particle produces a displacement of S = 2i + 3j + 5k where F is expressed in newton and s in metre.
Last Answer : A force F = 4i + 6j + 3k acting on a particle produces a displacement of S = 2i + 3j + 5k where ... and s in metre. Find the work done by the force.
Description : Given B= (10/r)i+( rcos θ) j+k in spherical coordinates. Find Cartesian points at (- 3,4,0) a) -2i + j b) 2i + k c) i + 2j d) –i – 2k
Last Answer : a) -2i + j
Description : Find the scalar product of the two vectors v1 = i + 2j + 3k and v2 = 3i + 4j - 5k.
Last Answer : Find the scalar product of the two vectors v1 = i + 2j + 3k and v2 = 3i + 4j - 5k.
Description : Find the angle between the vectors A = i + 2j - k and B = -i + j - 2k.
Last Answer : Find the angle between the vectors A = i + 2j - k and B = -i + j - 2k.
Description : The work done by a charge of 10μC with a potential 4.386 is (in μJ) a) 32.86 b) 43.86 c) 54.68 d) 65.68
Last Answer : b) 43.86
Description : Find the power of an EM wave, given that the cross product of the E and H component is 2 + 3j. a) 2 b) 1 c) 4 d) 8
Last Answer : b) 1
Description : Determine the vector product of v1 = 2i + 3j - k and v2 = i + 2j - 3k are perpendicular to each other,
Last Answer : Determine the vector product of v1 = 2i + 3j - k and v2 = i + 2j - 3k are perpendicular to each other, determine the value of a.
Description : A truss containing j joints and m members, will be a simple truss if (A) m = 2j - 3 (B) j = 2m - 3 (C) m = 3j - 2 (D) j = 3m - 2
Last Answer : (A) m = 2j - 3
Description : The degree of kinematic indeterminacy of a pin-jointed space frame is (A) 2j - r (B) 3j - r (C) j - 2r (D) j - 3r Where j is number of joints and r is reaction components
Last Answer : (B) 3j - r
Description : If there are m unknown member forces, r unknown reaction components and j number of joints, then the degree of static indeterminacy of a pin-jointed plane frame is given by (A) m + r + 2j (B) m - r + 2j (C) m + r - 2j (D) m + r - 3j
Last Answer : (C) m + r - 2j
Description : The degree of static indeterminacy of a pin-jointed space frame is given by m r j number of joints) (A) m + r - 2j (B) m + r - 3j (C) 3m + r - 3j (D) m + r + 3j
Last Answer : (B) m + r - 3j
Description : Degree of kinematic indeterminacy of a pin-jointed plane frame is given by (A) 2j - r (B) j - 2r (C) 3j - r (D) 2j + r
Last Answer : (A) 2j - r
Description : The degree of static indeterminacy of a rigid-jointed space frame is (A) m + r - 2j (B) m + r - 3j (C) 3m + r - 3j (D) 6m + r - 6j Where m, r and j have their usual meanings
Last Answer : (D) 6m + r - 6j
Description : A rigid-jointed plane frame is stable and statically determinate if (A) (m + r) = 2j (B) (m + r) = 3j (C) (3m + r) = 3j (D) (m + 3r) = 3j Where m is number of members, r is reaction components and j is number of joints
Last Answer : (C) (3m + r) = 3j
Description : on analyzing the result of an competitive exam the teacher found that the average for the entire the class was 69 marks. If we say that average of 10 % of the students scored 77 marks and average of 28 % of the ... marks of the remaining students of the class A) 67.54 B) 68.26 C) 66.91 D) 69.06
Last Answer : D) average of entire class = 69marks average of 28 % of the students = 66 marks average of 10% of the students = 77 marks then % of remaining students = (100- 10 - 28) = 62% let the average of 62% of the ... (62*x)+770+1848= 6900 62 * x = 6900-770-1848 62*x = 4282 x = 69.06
Description : If vectors P = 2i + 3j - k and Q = 2i - 5j + 2k. Find i. P + Q ii. 3P - 2Q
Last Answer : If vectors \(\overset\rightarrow{P}\) = 2i + 3j - k and \(\overset\rightarrow{Q}\) = 2i - ... \overset\rightarrow{P}\) - 2\(\overset\rightarrow{Q}\)
Description : If A = 2i + 7j + 3k and B = 3i + 2j + 5k, find the component of A along B.
Last Answer : If A = 2i + 7j + 3k and B = 3i + 2j + 5k, find the component of A along B.
Description : Intensive Cattle Development Programme (ICDP) was introduced in? a. 1966-67 b. 1963-64 c. 1964-65 d. 1967-68
Last Answer : c. 1964-65
Description : Two lines L1 and L2 having Parametric equations are P1=[3 4 7]+u[2 2 -6] and P2=[15 -2]+u[1 4 2]. Tangent vector for line L1 a.2i+2j-6k b.2i+2j+6k c.2i-2j-6k d.6-2j-2k
Last Answer : a.2i+2j-6k
Description : Nandita scores 60% marks in five subjects together, viz., Hindi, Science, Mathematics, English and Sanskrit, where in the maximum marks of each subject were 105. How many marks did Nandita score in Science, if she scored 69 ... and 51 marks in English? a) 66 b) 68 c) 55 d) 65 e) None of these
Last Answer : Answer: D Total of maximum marks of all subjects=105×5=525 75% of 525=525 ×60/100= 315 Obtained marks of foru subjects (Hindi, Sanskrit, mathematics and English) =69+62+68+51=250 So, the obtained marks in Science=315-250=65
Description : Calculate the loss tangent when the dielectric constant in AC field is given by 3 + 2j. a) (2/3) b) (3/2) c) (-3/2) d) (-2/3)
Last Answer : d) (-2/3)
Description : Find the power, given energy E = 2J and current density J = x 2 varies from x = 0 and x = 1. a) 1/3 b) 2/3 c) 1 d) 4/3
Last Answer : b) 2/3
Description : The voltage of a capacitor 12F with a rating of 2J energy is a) 0.57 b) 5.7 c) 57 d) 570
Last Answer : a) 0.57
Description : Transform the vector A = 3i – 2j – 4k at P(2,3,3) to cylindrical coordinates a) -3.6j – 4k b) -3.6j + 4k c) 3.6j – 4k d) 3.6j + 4k
Last Answer : a) -3.6j – 4k
Description : How much amount has been allocated for Indian Railways for the fiscal year 2019-20? A. Rs. 65,587 crores B. Rs. 66,587 crores C. Rs. 64,587 crores D. Rs. 67,587 crores
Last Answer : C [Rs. 64,587 crores] Explanation: A capital expenditure programme of Rs 1, 58, 658 crore for Indian Railways has been announced by Finance Minister Piyush Goyal in the Railway Budget 2019.
Description : A group of students of arithmetic mean of the marks in a test was 63. The brightest 30% of them secured a mean score of 70 and the dullest 15% a mean score of 41. The mean score of remaining 55 % is A) 63.675 B) 61.785 C) 65.181 D) 66.67
Last Answer : C) Let the requird mean score be ‘x’ Then (30*70)+(15*41)+55x = 63*100 2100+615+55x=6300 2715+55x=6300 55x=3585 X=65.181
Description : The total current density is given as 0.5i + j – 1.5k units. Find the curl of the magnetic field intensity. a) 0.5i – 0.5j + 0.5k b) 0.5i + j -1.5k c) i – j + k d) i + j – k
Last Answer : b) 0.5i + j -1.5k
Description : Find the projection of A on B. Given A = 10j + 3k and B = 4j + 5k. a) 6 b) 6.25 c) 6.5 d) 6.75
Last Answer : b) 6.25
Description : A projectile is fired into the air at an angle of 23 degrees. At what other angle would this projectile have the same range if air resistance is neglected? w) 46 degrees x) 60 degrees y) 67 degrees z) 68 degrees
Last Answer : ANSWER: Y -- 67 DEGREES
Description : Given E = 40xyi + 20x 2 j + 2k. Calculate the potential between two points (1,-1,0) and (2,1,3). a) 105 b) 106 c) 107 d) 108
Last Answer : b) 106
Description : Determine vectors a × b, given a = 2i + 3j and b = 3i + 5j.
Last Answer : Determine vectors a × b, given a = 2i + 3j and b = 3i + 5j.
Description : If A = i + 2j + 3k and B = 3i - 2j + k, then the area of parallelogram formed from these vectors as the adjacent sides will be
Last Answer : If A = i + 2j + 3k and B = 3i - 2j + k, then the area of parallelogram formed from these ... units (C) 6√3 square units (D) 8√3 square units
Description : If A = 2i - j + k and B = i + 2j - k are two vectors, find |A x B|.
Last Answer : If A = 2i - j + k and B = i + 2j - k are two vectors, find |A x B|.
Description : Given a = i + 2j and b = 2i + j, what are the magnitudes of the two vectors? Are these two vectors equal?
Last Answer : Given \(\overset\rightarrow{a}\) = i + 2j and \(\overset\rightarrow{b}\) = 2i + j, ... magnitudes of the two vectors? Are these two vectors equal?
Description : The magnitude of scalar product of the vectors A = 2i + 5k and B = 3i + 4k is
Last Answer : The magnitude of scalar product of the vectors A = 2i + 5k and B = 3i + 4k is (A) 20 (B) 22 (C) 26 (D) 29
Description : P = i + 2k and Q = 2i + j -2k are two vectors, find the unit vector parallel to P x Q.
Last Answer : P = i + 2k and Q = 2i + j -2k are two vectors, find the unit vector parallel to P x ... find the vector perpendicular to P and Q of magnitude 6 units.
Description : Find the orbital angular moment of a dipole with angular velocity of 1.6m/s and radius 35cm(in 10-31 order) a) 1.78 b) 8.71 c) 7.18 d) 2.43
Last Answer : a) 1.78
Description : The vectors of the electromagnetic wave propagation can be expressed in a) Dot product b) Cross product c) Unit vector d) Perpendicular vector
Last Answer : b) Cross product
Description : The vector product of two vectors is given by area of the parallelogram. State True/False. a) True b) False
Last Answer : a) True
Description : Distance and position vectors rely on field strength. State True/False. a) True b) False
Description : The dot product of two vectors is a scalar. The cross product of two vectors is a vector. State True/False. a) True b) Fals
Description : Find whether the vectors are parallel, (-2,1,-1) and (0,3,1) a) Parallel b) Collinearly parallel c) Not parallel d) Data insufficient
Last Answer : c) Not parallel
Description : he work done of vectors force F and distance d, separated by angle θ can be calculated using, a) Cross product b) Dot product c) Addition of two vectors d) Cannot be calculated
Last Answer : b) Dot product
Description : When two vectors are perpendicular, their a) Dot product is zero b) Cross product is zero c) Both are zero d) Both are not necessarily zero
Last Answer : Answer: a Explanation: Dot product of two perpendicular vectors is given by A.B = |a||b|cos 90, which is zero. Thus, dot product is zero and vectors are perpendicular.
Description : Find the reflection coefficient of the wave with SWR of 3.5. a) 0.55 b) 0.23 c) 0.48 d) 0.68
Last Answer : a) 0.55