If a→ and b→ are the intersecting face diagonals of a cube of side x in plane XOY and YOZ, respectively, with respect to reference frame at the point of intersection of the vectors and sides of cube as the axes, the components of vector r→=a→×b→ are
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a
x, −x, x
b
−x2, −x2, x2
c
x2, −x2,x2
d
x, x2, −x
answer is C.
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Detailed Solution
Here a→=xi^+xj^ and b→=xj^+xk^ Since R→ = a→×b→ we get R→= |i^j^k^xx00xx| = x2i^−x2j^+x2k^Clearly, the components are Rx=x2, Ry= −x2,RZ =x2