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The position vector of the point which d...

The position vector of the point which divides the line segment joining the points with position vectors `2 vec(a) = 3b` and `vec(a) + vec(b)` in the ratio `3:1` is

A

`(3 vec(a) - 2 vec(b))/(4)`

B

`( 7 vec(a) - 8 vec(b))/(4)`

C

`(3 vec(a))/( 4)`

D

`(5 vec(a))/( 4)`

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The correct Answer is:
D
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ICSE-VECTORS -MULTIPLE CHOICE QUESTION
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  2. If the sides AB and AD of a parallelogram ABCD are represented by the ...

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  3. The position vector of the point which divides the line segment joinin...

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  4. If the position vector of the poinot A is a+2b and a point P with posi...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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