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Find unit vector perpendicular to both b...

Find unit vector perpendicular to both `bar(i) + bar(j) + bar(k) and 2bar(i) + bar(j) + 3bar(k)`.

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The correct Answer is:
`+- 1/(sqrt6)(2bar(i)-bar(j)-bar(k))`
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Find the unit vector in the direction of the sum of the vectors bar(a) = 2bar(i)+ 2bar(j) - 5bar(k) and bar(b) = 2bar(i) + bar(j) + 3bar(k) .

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Compute 2 bar(j) xx (3bar(i) - 4bar(k)) + (bar(i)+2bar(j)) xx bar(k) .

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Find the volume of the parallelopiped having co-tenninus edges are represented by the vectors 2 bar(i) - 3bar(j) + bar(k), bar(i) -bar(j) +2bar(k), 2bar(i) + bar(j) -bar(k) .

SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Product of vectors )
  1. If bar(p) = xbar(i) + ybar(j) + zbar(k), find the value of |bar(p) xx ...

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  2. Compute 2 bar(j) xx (3bar(i) - 4bar(k)) + (bar(i)+2bar(j)) xx bar(k).

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  3. Find unit vector perpendicular to both bar(i) + bar(j) + bar(k) and 2b...

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  4. If bar(a) = 2bar(i) - 3bar(j) + 5bar(k), bar(b) = -bar(i) + 4bar(j) + ...

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

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  6. If theta is the angle between the vectors bar(i) + bar(j) , bar(j) + b...

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  7. Find the area of the triangle having (3bar(i)+4bar(j)),(-5bar(i)+7bar(...

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  8. If bar(a) = bar(i) + 2bar(j) + 3bar(k), bar(b) = 3bar(i) +5bar(j) -bar...

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  9. Find the area of the parallelogram whose adjacent sides are bar(a) = 2...

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  10. Find the vector area and area of the parallelogram having bar(a) = bar...

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  11. Find the volume of the parallelopiped having co-tenninus edges are rep...

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  12. Find the volume of the parallelopiped having co-tenninus edges are rep...

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  13. Find the volume of the tetrahedron having the edges ,bar(i) + bar(j)...

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  14. Prove that vectors bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) ...

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  15. If the vectors bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) + 2...

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  16. Find t, for which the vectors 2bar(i) - 3bar(j) + bar(k), bar(i) + 2ba...

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  17. if bar(a) + bar(b) + bar(c ) = bar(0), |bar(a)| = 3, |bar(b)| = 5, |b...

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  18. If 4bar(i) + (2p)/3 bar(j)+ pbar(k) is parallel to the vector bar(i) ...

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  19. If |bar(a)| = 13, |bar(b)| = 5, and bar(a).bar(b) = 60, then find |bar...

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  20. vec(a) = 2hat(i) - hat(j) + hat(k), vec(b) = hat(i) - 3hat(j) - 5hat(k...

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