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Find anle between planes bar(r ).(2bar(i...

Find anle between planes `bar(r ).(2bar(i)-bar(j) + 2 bar(k)) = 3, bar(r ).(3bar(i)+6bar(j) + bar(k)) = 4`

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The correct Answer is:
`Cos^(-1)((2)/(3sqrt(46)))`
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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 a unit vector perpendicular to the plane containing the vector bar(a) = 4bar(i) + 3bar(j) - bar(k), bar(b) = 2bar(i) - 6bar(j) - 3bar(k)

Find the vector area and area of the triangle with vertices bar(i) + bar(j)-bar(k), 2bar(i)- 3bar(j) + bar(k), 3 bar(i) + bar(j)- 2bar(k) .

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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Product of vectors )
  1. Find the cartesian equation of the plane through the point A (2,-1,-4)...

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

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

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

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

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

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  7. If bar(p) = xbar(i) + ybar(j) + zbar(k), find the value of |bar(p) xx ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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