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  •  are position vectors of three points. Which of the fol

\vec{a},\vec{b},\vec{c} are position vectors of three points. Which of the following relations doesn't represent that they are collinear

Option: 1

2\vec{a}+3\vec{b}+\vec{c}=\vec{0}


Option: 2

\vec{a}-5\vec{b}+4\vec{c}=\vec{0}


Option: 3

2\vec{a}-3\vec{b}+\vec{c}=\vec{0}


Option: 4

5\vec{a}-2\vec{b}-3\vec{c}=\vec{0}


Answers (1)

best_answer

As we learned

Test of Collinearity

\vec{a},\vec{b},\vec{c} are collinear if x\vec{a}+y\vec{b}+z\vec{c}=0 where x+y+z=0

 

In this question,

Each relation is of form x\vec{a}+y\vec{b}+z\vec{c}=\vec{0}, but where x + y + z = 0

except (A)

Posted by

Divya Prakash Singh

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