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The vectors vec(a) " and " vec(b) are no...

The vectors `vec(a) " and " vec(b)` are non-collinear. Find for what value of x, the vectors `vec(c)=(x-7)vec(a)+2vec(b) "and " vec(d)=(2x+1)vec(a)-vec(b)` are collinear.

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The correct Answer is:
x=1
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CHHAYA PUBLICATION-VECTOR-EXERCISE - LONG ANSWER TYPE QUESTIONS
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  6. Given that the points with position vectors 12hat(i)-5hat(j), 10hat(i)...

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  7. The vectors vec(a) " and " vec(b) are non-collinear. If vec(p)=(x+4y)v...

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  8. If the sum of two unit vectors is a unit vector, prove that the magnit...

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  12. Defination : Unit vector

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  14. ABCD is a parallelogram, P and Q are the mid-points of the sides bar(A...

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  16. D, E, F are the midpoints of the sides bar(BC), bar(CA) " and " bar(AB...

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  17. C is the midpoint of the line segment bar(AB) and O is any point outsi...

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  18. G is a point inside the plane of the triangle ABC, if vec(GA)+vec(GB)+...

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  19. The diagonals of the parallelogram ABCD intersect at E. If vec(a), vec...

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  20. By vector method prove that the straight line joining the midpoints of...

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