Vector Algebra Question 309

Question: If a, b, c are the position vectors of three collinear points, then the existence of x, y, z is such that

Options:

A) $ x\mathbf{a}+y\mathbf{b}+z\mathbf{c}=0,x+y+z\ne 0 $

B) $ x\mathbf{a}+y\mathbf{b}+z\mathbf{c}\ne 0,x+y+z=0 $

C) $ x\mathbf{a}+y\mathbf{b}+z\mathbf{c}\ne 0,x+y+z\ne 0 $

D) $ x\mathbf{a}+y\mathbf{b}+z\mathbf{c}=0,x+y+z=0 $

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Answer:

Correct Answer: D

Solution:

  • It is a fundamental concept.