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Check whether the three vectors 2hati+2h...

Check whether the three vectors `2hati+2hatj+3hatk, vecb=-3hati+3hatj+2hatk and vecc=3hati+4hatk` form a triangle or not.

Text Solution

Verified by Experts

If vectors `veca=2hati+2hatj+3hatk, vecb=-3hati+3hatj+2hatk` and `vecc=3hati+4hatk` form a triangle, then we must have
`" "veca+vecb+vecc=0`
But for given vectors, `veca+vecb+vecc ne 0`. Hence, these vectors do not form a triangle.
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