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If theta is the angle between the vector...

If `theta` is the angle between the vectors `bar(i) + bar(j) , bar(j) + bar(k)` then find `sin theta`.

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Verified by Experts

The correct Answer is:
`(sqrt3)/2`
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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Product of vectors )
  1. If bar(a) = 2bar(i) - 3bar(j) + 5bar(k), bar(b) = -bar(i) + 4bar(j) + ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. If bar(a) , bar(b) and bar(a)-sqrt2bar(b) are unit vectors, then what ...

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  20. If bar(a) , bar(b) are non-zero vectors such that |bar(a)+bar(b)|^2 =...

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