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If bar(a) = bar(i) + bar(j)+bar(k), bar(...

If `bar(a) = bar(i) + bar(j)+bar(k), bar(b) = 2bar(i) + 3bar(j) + bar(k)` then find the projection vector of `bar(b)` on `bar(a)` and its magnitude.

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Verified by Experts

The correct Answer is:
`2(bar(i)+bar(j)+bar(k)); 2sqrt(3)`
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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Product of vectors )
  1. If |bar(a)+bar(b)| = |bar(a)-bar(b)| then find the angle between bar(a...

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  2. If bar(a) = bar(i) - bar(j)-bar(k), bar(b) = 2bar(i) - 3bar(j) + bar(k...

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  3. If bar(a) = bar(i) + bar(j)+bar(k), bar(b) = 2bar(i) + 3bar(j) + bar(k...

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  4. If bar(a) = 2bar(i) - bar(j) + bar(k), and bar(b) = bar(i) - 3bar(j) ...

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  5. Find a unit vector perpendicular to the plane containing the vector ...

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  6. Find the area of the parallelogram whose adjacent sides are a=2over...

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  7. Find the area of the parallelogram whose diagonals are 3bar(i) + bar(j...

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  8. If bar(a) = 6bar(i) + 2bar(j) + 3bar(k) and bar(b) = 2bar(i) - 9bar(j)...

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  9. If bar(a) = 2bar(i) + 2bar(j) - 3bar(k), bar(b) = 3bar(i) - bar(j) + 2...

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  10. If bar(a) = bar(i) - 2bar(j) - 3bar(k), bar(b) = 3bar(i) -bar(j)+2bar(...

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  11. If vectors lambda bar(i) - 3bar(j)+5bar(k), 2lambda bar(i) - lambdabar...

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  12. If the vectors 2bar(i) + lambda bar(j) - bar(k) and 4bar(i)-2bar(j)+2b...

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  13. For what values of lambda the vectors bar(i) - lambda bar(j) + 2bar(k)...

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  14. Find the Cartesian equation of the plane passing through the point (-2...

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  15. Find the cartesian equation of the plane through the point A (2,-1,-4)...

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  16. Find the angle between the planes 2x - 3y - 6z =5 and 6x+2y-9z = 4

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  17. Find anle between planes bar(r ).(2bar(i)-bar(j) + 2 bar(k)) = 3, bar(...

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  18. If |bar(P)| = 2, |bar(q)| = 3 and (bar(p),bar(q)) = (pi)/6, then find ...

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  19. If bar(a) = 2bar(i) - 3bar(j) + bar(k) and bar(b) = bar(i) + 4bar(j) -...

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  20. Compute bar(a) xx (bar(b) + bar(c )) + bar(b) xx (bar(c ) +bar(a)) + b...

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