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If ` vec a , vec b` are the position vectors of the points `(1,-1),(-2,m),` find the value of `m` for which ` vec aa n d vec b` are collinear.

A

4

B

3

C

2

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Condition for collinearly, `b=lamda=a`
`implies(-2hati+mhatj)=lamda(hati-hatj)`
Comparison of coefficient, we get
`implies lamda=-2 and -lamda=m`
so, m=2
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ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
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  3. If vec a , vec b are the position vectors of the points (1,-1),(-2,m)...

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  4. The points with position vectors 10hati+3hatj,12hati-5hatj and ahati+1...

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  5. The vectors hati+2hatj+3hatk,lamdahati+4hatj+7hatk,-3hati-2hatj-5hatk ...

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  6. If the points a+b,a-b and a+kb be collinear, then k is equal to

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  7. If the position vectors off A,B,C and D are 2hati+hatj,hati-3hatj,3hat...

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  8. If the vectors 3hati+2hatj-hatk and 6hati-4xhatj+yhatk are parallel, t...

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  9. If a and b are two non collinear vectors; then every vector r coplanar...

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  10. Four non-zero vectors will always be

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  11. The vectors a,b and a+b are

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  12. Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...

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  13. The number of integral values of p for which (p+1) hati-3hatj+phatk, p...

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  14. If the vectors AB=3hati+4hatk and AC=5hati-2hatj+4hatk are the sides o...

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  15. In the figure, a vectors x satisfies the equation x-w=v. then, x is eq...

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  16. Vectors veca = hati+2hatj+3hatk, vec b = 2hati-hatj+hatk and vecc= 3ha...

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  17. If OP=8 and OP makes angles 45^(@) and 60^(@) with OX-axis and OY-axis...

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  18. Let a,b and c be three unit vectors such that 3a+4b+5c=0. Then which o...

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  19. if A,B,C,D and E are five coplanar points, then vec(DA) + vec( DB) + v...

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  20. If the vectors veca and vecb are linearly independent satisfying (sqrt...

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