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
Last Answer : a) True
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 : Show that magnitude of vector product of two vectors is numerically equal to the area of a parallelogram formed by the two vectors.
Last Answer : Show that magnitude of vector product of two vectors is numerically equal to the area of a parallelogram formed by the two vectors.
Description : Distance and position vectors rely on field strength. State True/False. a) True b) False
Description : Curl is defined as the angular velocity at every point of the vector field. State True/False. a) True b) False
Description : The divergence of a vector is a scalar. State True/False. a) True b) False
Description : The curl of gradient of a vector is non-zero. State True or False. a) True b) False
Last Answer : b) False
Description : The divergence of curl of a vector is zero. State True or False. a) True b) False
Description : The magnetic vector potential is a scalar quantity. a) True b) False
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 : 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 : The distance vector can be used to compute which of the following? a) Dot product b) Cross product c) Unit normal vector d) Area
Last Answer : c) Unit normal vector
Description : The Poynting vector is the power component that is calculated by the a) Product of E and H b) Ratio of E and H c) Dot product of E and H d) Cross product of E and H
Last Answer : d) Cross product of E and H
Description : The angular separation between the vectors A = 4i + 3j + 5k and B = i – 2j + 2k is (in degrees) a) 65.8 b) 66.8 c) 67.8 d) 68.8
Last Answer : c) 67.8
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 : From the formula F = qE, can prove that work done is a product of force and displacement. State True/False a) True b) False
Description : State the characteristics of the vector product (cross product) of two vectors.
Last Answer : State the characteristics of the vector product (cross product) of two vectors.
Description : Using volume integral, which quantity can be calculated? a) area of cube b) area of cuboid c) volume of cube d) distance of vector
Last Answer : c) volume of cube
Description : The charge density of a field with a position vector as electric flux density is given by a) 0 b) 1 c) 2 d) 3
Last Answer : d) 3
Description : Given the vector potential is 16 – 12sin y j. Find the field intensity at the origin. a) 28 b) 16 c) 12 d) 4
Last Answer : c) 12
Description : The curl of curl of a vector is given by, a) Div(Grad V) – (Del) 2 V b) Grad(Div V) – (Del) 2 V c) (Del) 2 V – Div(Grad V) d) (Del) 2 V – Grad(Div V)
Last Answer : b) Grad(Div V) – (Del) 2 V
Description : Vector transformation followed by coordinate point substitution and vice-versa, both given the same result. Choose the best answer. a) Possible, when the vector is constant b) Possible, when the vector is variable c) Possible in all cases d) Not possible
Last Answer : a) Possible, when the vector is constant
Description : The spherical equivalent of the vector B = yi + (x + z)j located at (-2,6,3) is given by a) (7,64.62,71.57) b) (7,-64.62,-71.57) c) (7,-64.62,71.57) d) (7,64.62,-71.57)
Last Answer : d) (7,64.62,-71.57)
Description : The relation between vector potential and field strength is given by a) Gradient b) Divergence c) Curl d) Del operator
Last Answer : a) Gradient
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 : Which of the following is not true? a) A . (B . C) = scalar value b) A . (B x C) = scalar value c) A x (B . C) = scalar value d) A x (B x C) = vector value
Last Answer : c) A x (B . C) = scalar value
Description : The area of sphere can be computed from the sphere volume. State True/False. a) True b) False
Description : The given equation satisfies the Laplace equation. V = x 2 + y 2 – z 2 . State True/False. a) True b) False
Description : Electric field of an infinitely long conductor of charge density λ, is given by E = λ/(2πεh).aN. State True/False. a) True b) False
Description : The point form of Gauss law is given by, Div(V) = ρv State True/False. a) True b) False
Description : The potential of a uniformly charged line with density λ is given by, λ/(2πε) ln(b/a). State True/False. a) True b) False
Description : The integral form of potential and field relation is given by line integral. State True/False a) True b) False
Description : Define and explain vector product of two vectors with suitable examples.
Last Answer : Define and explain vector product of two vectors with suitable examples.
Description : The magnitude of vector product of two unit vectors making an angle of 60° with each other is
Last Answer : The magnitude of vector product of two unit vectors making an angle of 60° with each other is (A) 1 (B) 2 (C) 3/2 (D) √3/2
Description : Find the curl of the vector and state its nature at (1,1,-0.2) F = 30 i + 2xy j + 5xz 2 k a) √4.01 b) √4.02 c) √4.03 d) √4.04
Last Answer : d) √4.04
Description : The equation vectors a + a = a is (A) meaningless (B) always true (C) may he possible for limited values of a’ (D) true only when vector a = 0
Last Answer : The equation vectors a + a = a is (A) meaningless (B) always true (C) may he possible for limited values of a’ (D) true only when vector a = 0
Description : The gradient of the magnetic vector potential can be expressed as a) –με dV/dt b) +με dE/dt c) –με dA/dt d) +με dB/dt
Last Answer : a) –με dV/dt
Description : The magnitude of the conduction current density for a magnetic field intensity of a vector yi + zj + xk will be a) 1.414 b) 1.732 c) -1.414 d) -1.732
Last Answer : b) 1.732
Description : The charge density of a system with the position vector as electric flux density is a) 0 b) 1 c) 2 d) 3
Description : Find the magnetic flux density when the vector potential is a position vector. a) 1 b) 0 c) -1 d) ∞
Last Answer : b) 0
Description : Find the magnetic field when the magnetic vector potential is a unit vector. a) 1 b) -1 c) 0 d) 2
Last Answer : c) 0
Description : The relation between flux density and vector potential is a) B = Curl(A) b) A = Curl(B) c) B = Div(A) d) A = Div(B)
Last Answer : a) B = Curl(A)
Description : The current element of the magnetic vector potential for a surface current will be a) J dS b) I dL c) K dS d) J dV
Last Answer : c) K dS
Description : The magnetic vector potential for a line current will be inversely proportional to a) dL b) I c) J d) R
Last Answer : d) R
Description : The Laplacian of the magnetic vector potential will be a) –μ J b) – μ I c) –μ B d) –μ H
Last Answer : a) –μ J
Description : Find the vector potential when the field intensity 60x 2 varies from (0,0,0) to (1,0,0). a) 120 b) -20 c) -180 d) 60
Last Answer : b) -20
Description : Find the magnetic field intensity when the magnetic vector potential x i + 2y j + 3z k. a) 6 b) -6 c) 0 d) 1
Last Answer : b) -6
Description : Find the magnetic flux density of the material with magnetic vector potential A = y i + z j + x k. a) i + j + k b) –i – j – k c) –i-j d) –i-k
Last Answer : b) –i – j – k