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Find the Cartesian equation of the plane...

Find the Cartesian equation of the plane passing through the point `(-2,1,3)` and perpendicular to the vector `3bar(i) + bar(j) + 5bar(k)`.

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The correct Answer is:
`3x+y+5z-10=0`
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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Product of vectors )
  1. If the vectors 2bar(i) + lambda bar(j) - bar(k) and 4bar(i)-2bar(j)+2b...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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