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If vec a, vec b , vec c are three non-...

If ` vec a, vec b , vec c ` are three non- coplanar vectors such that ` vec a + vec b + vec c = alpha vec d and vec b +vec c + vec d = beta vec a, " then " vec a + vec b + vec c + vec d ` to equal to

A

`vec 0`

B

`alpha vec a `

C

`beta vec b`

D

`(alpha+ beta) vec c `

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A
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OBJECTIVE RD SHARMA-ALGEBRA OF VECTORS-Exercise
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  2. A, B have vectors vec a , vec b relative to the origin O and X, Y d...

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  3. If a vector ofmagnitude 50 is collinear with vector vecb = 6 hat i - 8...

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  4. The vector vec c , directed along the internal bisector of the angle...

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  5. Let vec a , vec b ,vec c are three non- coplanar vectors such that ...

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  6. If vec a, vec b , vec c are three non- coplanar vectors such that v...

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  7. veca, vecb ,vecc are three non zero vectors no two of which are collon...

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  8. Let alpha, beta, gamma be distinct real numbers. The points with posit...

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  9. The points with position vectors 60hati+3hatj,40hati-8hatj, 40hati-8ha...

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  10. If the points with position vectors 10 hat i+3 hat j ,12 hat i-5 ha...

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  11. If C is the middle point of AB and P is any point outside AB, then

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  12. The median AD of the triangle ABC is bisected at E and BE meets AC ...

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  13. In a trapezium ABCD the vector B vec C = lambda vec(AD). If vec p = ...

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  14. If vec x and vec y are two non-collinear vectors and ABC is a triangle...

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  15. If D, E, F are respectively the mid-points of AB, AC and BC respectiv...

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  16. Forces 3 O vec A , 5 O vec B act along OA and OB. If their resultant ...

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  17. If ABCDEF is a regular hexagon with vec(AB) = veca and vec(BC)= vecb, ...

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  18. If A, B, C are vertices of a triangle whose position vectors are vec ...

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  19. Let vec a=hati -2 hatj + 3 hatk, vec b = 3 hati + 3 hatj -hat k and v...

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  20. If G is the intersection of diagonals of a parallelogram ABCD and O is...

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