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If vec a = 3 hat i - hat j - 5 hatk, vec...

If `vec a = 3 hat i - hat j - 5 hatk, vec b = hat i - 5 hat j + 3 hat k`, show that `vec a + vec b` and `vec a - vec b` are perpendicular.
(b) Given the position vectors of three points `A(hat i - hat j + 2 hat k)` B`(4 hat i + 5 hat j + 8 hat k)` C`(3 hat i + 3 hat j + 6 hat k)`
(i) Find `vec(AB)` and `vec(AC)`
(ii) Prove that A, B, C are collinear points.

Text Solution

Verified by Experts

The correct Answer is:
`vec(AB) || vec (AC)` A, B, C afre collinear.
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