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

If `bar(a) = 2bar(i) - 3bar(j) + 5bar(k), bar(b) = -bar(i) + 4bar(j) + 2bar(k)` then find `bar(a) xx bar(b)` and unit vector perpendicular to both `bar(a), bar(b) [-26bar(i) - 9bar(j) + 5bar(k), +- 1/(sqrt(782))26bar(i)+9bar(j)-5bar(k))`.

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If bar(a) = 2bar(i) - bar(j) + bar(k), and bar(b) = bar(i) - 3bar(j) - 5bar(k) then find |bar(a) xx bar(b)| .

If bar(a)= 2bar(i) - 3bar(j) + 5bar(k), bar(b)= - bar(i) + 4bar(j)+ 2bar(k) then find (bar(a) + bar(b)) xx (bar(a) - bar(b)) and unit vector perpendicular to both bar(a) + bar(b) " & " bar(a)- bar(b) .

If bar(a)=2bar(i)-3bar(j)+5bar(k),bar(b)=-bar(i)+4bar(j)+2bar(k) , then find (bar(a)+bar(b))xx(bar(a)-bar(b)) and unit vector perpendicular to both bar(a)+bar(b)andbar(a)-bar(b)

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

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

If bar(a) = bar(i) - 2bar(j) - 3bar(k), bar(b) = 3bar(i) -bar(j)+2bar(k) then S.T bar(a)+bar(b).bar(a)-bar(b) are perpendicular.

If bar(a) = 6bar(i) + 2bar(j) + 3bar(k) and bar(b) = 2bar(i) - 9bar(j) + 6bar(k) , then find bar(a).bar(b) amd the angle between bar(a) and bar(b) .

If bar(a) = bar(i) + 2bar(j)-3bar(k), bar(b) = 3bar(i)-bar(j)+2bar(k) then S.T bar(a)+bar(b), bar(a)-bar(b) are perpendicular.

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.

SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Product of vectors )
  1. Compute 2 bar(j) xx (3bar(i) - 4bar(k)) + (bar(i)+2bar(j)) xx bar(k).

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

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

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

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

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

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

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

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

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

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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 tetrahedron having the edges ,bar(i) + bar(j)...

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

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

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

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

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

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

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

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  20. If bar(a) xx bar(b) = bar(b) xx bar(c ) != 0, then show that bar(a) + ...

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