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`(veca-vecb)times(veca+vecb)` is equal to a)`veca` b)`abs(veca)^2-abs(vecb)^2` c)`vecatimesvecb` d)`2(vecatimesvecb)`

A

`veca`

B

`abs(veca)^2-abs(vecb)^2`

C

`vecatimesvecb`

D

`2(vecatimesvecb)`

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MAXIMUM PUBLICATION-VECTOR ALGEBRA-EXAMPLE
  1. Find the value of lambda for which the vectors 2i-4j+5k, i-lambdaj+k ...

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

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

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

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

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

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

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  8. 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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  9. Let A(2,3,4),B(4,3,2) and C(5,2,-1) be three points .Find the projecti...

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  10. Let A(2,3,4),B(4,3,2) and C(5,2,-1) be three points Find the area of...

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  11. ABCD is a parallelogram with A as the origin. vecb and vecd are posit...

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  12. ABCD is a parallelogram with A as the origin. vecb and vecd are posit...

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  13. ABCD is a parallelogram with A as the origin. vecb and vecd are posit...

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  14. If veca,vecb,vecc,vecd respectively are the position vectors represent...

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  15. Find the projection vector of vecb=i+2j+k along the vector veca=2i...

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  16. Find the area of a parallelogram for which the vectors 2i+j,3i+j+4k ar...

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  17. Write the magnitude of a vector veca in terms of dot product.

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  18. If veca,vecb,veca+vecb are unit vectors, then prove that the angle bet...

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  19. If 2i+j-3k and mi+3j-k are parpendicular to each other, then find 'm...

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  20. Consider the triangle ABC with vertices A(1,2,3),B(-1,0,4),C(0,1,2) ...

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