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If vec(a) = (1,-1) and vec(b) = (-2,m) a...

If `vec(a) = (1,-1)` and `vec(b) = (-2,m)` are collinear vector, then m is equal to

A

2

B

3

C

4

D

`-2`

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A
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If vec a and vec b are two non-collinear vectors having the same initial point. What are the vectors represented by vec a+ vec b and vec a- vec b .

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If vec a and vec b are two collinear vectors, then which of the following are incorrect:(A) vec b=lambda vec a , for some scalar lambda (B) vec a=+- vec b (C) the respective components of vec a and vec b are proportional(D) both the vectors vec a and vec b have same direction, but different magnitudes.

If vec a and vec b are two non-collinear vectors, show that points l_1 vec a+m_1 vec b ,l_2 vec a+m_2 vec b and l_3 vec a+m_3 vec b are collinear if |(l_1,l_2,l_3),(m_1,m_2,m_3),( 1, 1, 1)|=0.

If vec a , vec b are two non-collinear vectors, prove that the points with position vectors vec a+ vec b , vec a- vec b and vec a+lambda vec b are collinear for all real values of lambdadot

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ICSE-VECTORS -MULTIPLE CHOICE QUESTION
  1. If the position vector of the poinot A is a+2b and a point P with posi...

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  2. The value of lambda for which the vector 3 hat (i) -6 hat(j) + hat(k) ...

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  3. If vec(a) = (1,-1) and vec(b) = (-2,m) are collinear vector, then m is...

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

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  5. If A,B and C are the vertices of a triangle with position vectors vec(...

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  6. The angle between two vectors vec(a) and vec(b) with magnitudes sqrt(3...

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  7. The angle between the vectors hat(i) - hat(j) and hat(j) - hat(k) is ...

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  8. The value of lambda for which the vectors 2 hat(i) + lambda hat(j) + h...

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  9. If the angle between the vectors hat(i) + hat(k) and hat(i) + hat(j) ...

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  10. If points A,B and C with position vectors 2 hat(i) - hat(j) + hat(k) ,...

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  11. If vec(a) and vec(b) are unit vectors, then the angle between vec(a) a...

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  12. If theta is the angle between two vectors vec(a) and vec(b), then vec(...

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  13. The projection of the vector hat(i) +hat(j) + hat(k) along vector hat(...

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  14. The projection of the vector vec( a) = 2 hat(i) - hat(j) +hat(k) along...

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  15. If vec(a) = 2 hat(i) + hat(j) + 2hat(k) and vec(b) = 5hat(i)- 3 hat(j)...

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  16. If | vec(a) | =3 and |vec(b) |=4, then the value of lambda for which v...

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  17. (vec(a). hat(i) )^(2) + ( vec(a).hat(j))^(2) + ( vec(a) . hat(k))^(2) ...

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  18. If vec(a) . hat(i)= vec(a).(hat(i)+ hat(j)) = vec(a). ( hat(i) + hat(j...

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  19. if | vec(a) xx vec(b) |^(2) +| vec(a). vec(b)|^(2)= 144 and | vec(a) |...

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  20. If |vec(a) | = 3, | vec(b) | =4 and | vec(a) xx vec(b) | = 10, then | ...

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