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The adjacent sides of a parallelogram ar...

The adjacent sides of a parallelogram are `veca=3i+lambdaj+4k` and `vecb=i-lambdaj+k`.If the area of the parallelogram is `sqrt42` square units, find the value of `lambda`.

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MAXIMUM PUBLICATION-VECTOR ALGEBRA-EXAMPLE
  1. Find the angle between the vectors veca=3i+4j+k and vecb=2i+3j-k.

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  2. The adjacent sides of a parallelogram are veca=3i+lambdaj+4k and vecb=...

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  3. The adjacent sides of a parallelogram are veca=3i+lambdaj+4k and vecb=...

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  4. Let veca=2i-j+2k and vecb=6i+2j+3k.Find a unit vector in the direction...

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  5. Let veca=2i-j+2k and vecb=6i+2j+3k Find the angle between veca and v...

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  6. Consider the triangle ABC with vertices A(1,1,1), B(1,2,3) and C(2,3,1...

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  7. Consider the triangle ABC with vertices A(1,1,1), B(1,2,3) and C(2,3,1...

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  8. Consider the triangle ABC with vertices A(1,1,1), B(1,2,3) and C(2,3,1...

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  9. Consider the vectors veca=i-7j+7k,vecb=3i-2j+2k. Find veca.vecb.

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  10. Consider the vectors veca=i-7j+7k,vecb=3i-2j+2k.Find the angle between...

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  11. Consider the vectors veca=i-7j+7k,vecb=3i-2j+2k. Find the area of ...

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  12. If the points A and B are (1,2,-1) and (2,1,-1) respectively, then vec...

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  13. Find the value of lambda for which the vectors 2i-4j+5k, i-lambdaj+k ...

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  14. Find the angle between the vectors veca=2i+j-k and vecb=i-j+k.

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  15. (veca-vecb)times(veca+vecb) is equal to a)veca b)abs(veca)^2-abs(ve...

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  16. Using vectors, show that the points A(1,2,7),B(2,6,3),C(3,10,-1) are...

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  17. Find a vector in the direction of vecr=3i-4j that has a magnitude of ...

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  18. For any three vectors veca,vecb and vecc, and, prove that (veca+vecb)+...

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  19. Find a unit vector perpendicular to veca+vecb and veca-vecb, where vec...

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  20. Let A(2,3,4),B(4,3,2) and C(5,2,-1) be three points.Find vec(AB) and v...

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