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Question
Two vectors `veca = a_1 hati + a_2 hatj + a_3 hatk` and `vecb = b_1 hati + b_2 hatj + b_3 hatk` are collinear if ______.
Options
a1b1 + a2b2 + a3b3 = 0
`a_1/b_1 = a_2/b_2 = a_3/b_3`
a1 = b1, a2 = b2, a3 = b3
a1 + a2 + a3 = b1 + b2 + b3
Solution
Two vectors `veca = a_1 hati + a_2 hatj + a_3 hatk` and `vecb = b_1 hati + b_2 hatj + b_3 hatk` are collinear if `underlinebb(a_1/b_1 = a_2/b_2 = a_3/b_3)`.
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