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Let bar(a) , bar(b) be non-collinear vec...

Let `bar(a) , bar(b)` be non-collinear vectors. If `alpha = (x+4y)bar(a)+(2x+y+1)bar(b), beta = (y-2x+2)bar(a)+(2x-3y-1)bar(b)` are such that `3alpha = 2beta` then find x, y.

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The correct Answer is:
x = 2, y = -1
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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Addition of vectors)
  1. If vectors -3bar(i)+4bar(j)+lambdabar(k), mubar(i)+8bar(j)+6bar(k) ar...

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  2. If the position vectors of the points A,B,C are -2bar(i)+bar(j)-bar(...

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  3. Let bar(a) , bar(b) be non-collinear vectors. If alpha = (x+4y)bar(a)+...

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  4. Show that the points whose P,V are -2bar(a)+3bar(b)+5bar(c ), bar(a)+2...

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  5. If bar(OA) = bar(i) + bar(j)+ bar(k), bar(AB) = 3bar(i)-2bar(j)+bar(k)...

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  6. Find the vectore equation of the line passing through the point 2bar(i...

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  7. Find the vector equation of the line passing through the points 2bar(i...

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  8. OABC is a parallelogram. If bar(OA) = bar(a),bar(OC) = bar(c ) find th...

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  9. Find the vector equation of the plane passing through the points bar(i...

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  10. Let bar(a)=bar(i)+2bar(j)+3bar(k)andbar(b)=3bar(i)+bar(j). . Find a ...

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  11. Find a vector in the direction of vector bar(a) = bar(i) - 2bar(j) has...

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  12. Find unit vector in the direction of vector bar(a) = (2bar(i)+3bar(j)+...

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  13. Write direction ratios of the vector bar(r ) = bar(i) + bar(j) - 2bar(...

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  14. If alpha, beta and gamma be the angle made by the vector 3bar(i)-6bar(...

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  15. Find the angles made by the straight line passing through the points (...

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  16. Consider two points P and Q with position vectors bar(OP) = 3bar(a) - ...

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  17. Consider two points P and Q with position vectors bar(OP) = 3bar(a) - ...

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  18. Show that the points A(2bar(i)-bar(j)+bar(k)), B(bar(i)-3bar(j)-5bar(k...

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  19. Show that the triangle formed by the vectors 3bar(i)+5bar(j)+2bar(k), ...

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  20. S.T the points whose P.V are bar(a) - 2bar(b) + 3bar(c ), 2bar(a)+3bar...

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