That are rectangular components of vectors? Explain their uses.

That are rectangular components of vectors? Explain their uses.
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That are rectangular components of vectors? Explain their uses.
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The vectors `vec(a)=(2-x)hat(i)+2 hat(j)+2hat(k)," "vec(b) = 2hat(i)+(2-y)hat(j)+2hat(k)," "vec(c)=2hat(i)+2hat(j)+(2-z)hat(k) and vec(d) = hat(i) +ha

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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

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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

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What is the resultant of vectors shown in the figure below?

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P = i + 2k and Q = 2i + j -2k are two vectors, find the unit vector parallel to P x Q.

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Find unit vectors perpendicular to the plane of the vectors, A = and B = 2i - k.

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i and j are unit vectors along X-axis and Y-axis respectively. What is the magnitude and direction of the vector i + j and i - j?

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If A  = 2i - j + k and B = i + 2j - k are two vectors, find |A x B|.

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Find the angle between the vectors A = i + 2j - k and  B = -i + j - 2k.

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Find the scalar product of the two vectors v1 = i + 2j + 3k and v2 = 3i + 4j - 5k.

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Show that magnitude of vector product of two vectors is numerically equal to the area of a parallelogram formed by the two vectors.

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Derive an expression for cross product of two vectors and express it in determinant form.

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State the characteristics of the vector product (cross product) of two vectors.

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