Vectors 1 Question 17

18. The points with position vectors 60i^+3j^,40i^−8j^,ai^−52j^ are collinear, if

(1983, 1M)

(a) a=−40

(b) a=40

(c) a=20

(d) None of these

Show Answer

Answer:

Correct Answer: 18. c∈(−43,0)

Solution:

  1. Three points A,B,C are collinear, if AB→=−20i^−11j^ and AC→=(a−60)i^−55j^, then AB→|AC→

⇒a−60−20=−55−11⇒a=−40

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