1. If a and b are two non-parallel vectors and the position vectors of P, Q...

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1. If a and b are two non-parallel vectors and the position vectors of P, Q and R are 3. a+b and la + b, find the value of if P, Q and R lie on a straight line. a + 2b, 4 2. ABC is an equilateral triangle of side 3 units. The points P, Q lie on BC, CA re- spectively and are such that AQ CP= 2units. If the point R lies on AB produced so that BR= lunit, prove that P, Q, R are collinear. 3. Prove that the points with position vectors a+ 2b, 2a – b and 3a- 4b are collinear. 1. If a and b are two non-parallel vectors and the position vectors of P, Q and R are 3. a+b and la + b, find the value of if P, Q and R lie on a straight line. a + 2b, 4 2. ABC is an equilateral triangle of side 3 units. The points P, Q lie on BC, CA re- spectively and are such that AQ CP= 2units. If the point R lies on AB produced so that BR= lunit, prove that P, Q, R are collinear. 3. Prove that the points with position vectors a+ 2b, 2a – b and 3a- 4b are collinear.