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Q.

The magnitude of scalar and vector products of two vectors are 963 and 288 respectively. What is the angle between the two vectors?

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a

45o

b

90o

c

60o

d

30o

answer is C.

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Detailed Solution

P¯⋅Q¯=PQcos⁡θ=963…….(1)|P¯×Q¯|=PQsin⁡θ=288…….(2)(2)(1)⇒PQsin⁡θPQcos⁡θ=288963=33tan⁡θ=3⇒θ=60∘

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