Q.

If the vector product of a constant vector OA→ with a variable vector OB→ in a fixed plane OAB be a constant vector, then the locus of B is

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a

a straight line perpendicular to  OA→

b

a circle with centre o and radius equal to  OA→

c

a straight line parallel OA→

d

none of these

answer is C.

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Detailed Solution

|a→×r→|=|c→|Triangles on the same base and between the same parallel will have the same area.
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If the vector product of a constant vector OA→ with a variable vector OB→ in a fixed plane OAB be a constant vector, then the locus of B is