If vectors a 1 → = x i ^ - j ^ + k ^ and a 2 → = i ^ + y j ^ + z k ^ are collinear, then a…

If vectors a1=xi^-j^+k^ and a2=i^+yj^+zk^ are collinear, then a possible unit vector parallel to the vector xi^+yj^+zk^ is:
  1. 12-j^+k^
  2. 13i^+j^-k^
  3. 12i^-j^
  4. 13i^-j^+k^

Solution

a1 and a2 are collinear

So, x1=-1y=1z

Unit vector in direction of

xi^+yj^+zk^=±13i^-j^+k^

Asked in: JEE Main 2021 (26 Feb Shift 2)

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