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Question

Mathematics Question on Vectors

Given below are two statements:
Statement I: The angle between the vectors 2i^+3j^+k^2\hat{i}+3\hat{j}+\hat{k} and 2i^j^k^2\hat{i}-\hat{j}-\hat{k} is π/2\pi/2
Statement II: The vector a^×(b^×c^)\hat{a}\times(\hat{b}\times \hat{c}) is coplanar with a^\hat{a} and b^\hat{b}
In the light of the above statements, choose the correct answer from the options given below:

A

Both Statement I and Statement II are true

B

Both Statement I and Statement II are false

C

Statement I is true but Statement II is false

D

Statement I is false but Statement II is true

Answer

Statement I is true but Statement II is false

Explanation

Solution

The correct answer is(C): Statement I is true but Statement II is false