If a and b are two non-parallel vectors and the position vectors of P, Q and R are a + 2b, 1/2a+3/4b, and (lambda)a + b, find the value of (lambda) if P, Q and R lie on a straight line.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 10E
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If a and b are two non-parallel vectors and the position vectors of P, Q and R are
a + 2b, 1/2a+3/4b, and (lambda)a + b, find the value of (lambda) if P, Q and R lie on a straight line.

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