(7) If the magnitude of scalar and vector products of two vectors are 6 and 6
respectively, then the angle between them is
A. 15°
B. 30°
C. 60°
D. 75°
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Answer:
B) 30°
Explanation:
Let θ be the angle between two vectors a & b then
The scalar product is given as
a.b=abcosθ =6√ 3 .....(1)
The magnitude of Vector product is given as
a*b=absinθ=6......(2)
The magnitude of Vector product is given as
Dividing (2) by (1) as follows
absinθ/abcosθ=6 √ 3/6
tanθ=1/ √ 3
θ=tan inverse 1/ √ 3
θ=30∘
Hope it helps.....
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