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If vec aa n d vec b are non-collinear v...

If ` vec aa n d vec b` are non-collinear vectors, find the value of `x` for which the vectors ` vecalpha=(2x+1) vec a- vec b""a n d"" vecbeta=(x-2)"" vec a+ vec b` are collinear.

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
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  2. A B C D are four points in a plane and Q is the point of interse...

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  5. If vec a , vec b, vec c are three non- null vectors such that any tw...

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  7. Show that the points A ,B ,C with position vectors -2 vec a+3 vec b+5 ...

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  8. Prove that the line joining the mid-points of the diagonals of a trape...

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  9. Prove that the segment joining the middle points of two non-paralle...

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  10. Using vector method, prove that the line segments joining the mid-p...

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  13. If D and E are the mid-points of sides AB and AC of a triangle A B C r...

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  14. If G is the centroid of a triangle A B C , prove that vec G A+ vec G ...

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  15. Prove using vectors: Medians of a triangle are concurrent.

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  16. Points L, M, N divide the sides BC, CA, AB of ABC in the ratio 1:4, 3:...

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  17. Prove using vectors: The diagonals of a quadrilateral bisect each o...

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  18. Show that the line segments joining the mid-points of opposite side...

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  19. Prove that the line segment joining the mid points of two side of a...

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  20. A vector vec r is inclined at equal to O X ,O Ya n dO Zdot If the mag...

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