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Question

The given vectors can form sides of a triangle ^i^j^k,2^i+3^j^k,^i2^j+2^k


A

True

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B

False

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Solution

The correct option is A

True


First we have to check if the vectors are collinear. Clearly they are not as you cannot represent one vector as a scalar multiple of any other. Next we will check if sum of them is 0.

(^i^j^k)+(2^i+3^jˆk)+(^i2^j+2^k)

=0^i+0^j+0^k=0

They do satisfy the triangle law but with one of the vectors in negative direction which shouldn’t be effecting the possibility of forming a triangle.

The vectors can from the sides of a triangle.


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