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Motion In A Plane

Question
CBSEENPH11018361

What is the angle between straight A with rightwards arrow on top plus straight B with rightwards arrow on top space and space straight B with rightwards arrow on top cross times straight A with rightwards arrow on top ?

Solution

Vector straight A with rightwards arrow on top cross times straight B with rightwards arrow on top is perpendicular to the plane containing straight A with rightwards arrow on top space and space straight B with rightwards arrow on top.
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Therefore the cross product lies in the plane containing straight A with rightwards arrow on top space and space straight B with rightwards arrow on top.
∴  Angle between straight A with rightwards arrow on top cross times straight B with rightwards arrow on top and straight A with rightwards arrow on top plus straight B with rightwards arrow on top is 90 degree.