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Obtain the dot product of the vectors : ...

Obtain the dot product of the vectors : `veca=veci-hatj+hatk` and `vecb=veci-hatk`.

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Find the angle between the vectors : veca=hati+hatj-hatk and vecb=hati-hatj+hatk .

Find the angle between the vectors veca=hati-hatj+hatk and vecb=hati+hatj-hatk .

Find a vector of magnitude 5 units and parallel to the resultant of the vectors veca=2hati+3hatj-hatk and vecb=hati-2hatj+hatk .

Find the angle between the vectors : veca=3hati-2hatj+hatk and vecb=hati-2hatj-3hatk .

Find the unit vector in the direction of the sum of the vectors, veca = 2hati+2hatj-5hatk and vecb=2hati+hatj+3hatk .

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MODERN PUBLICATION-VECTORS-Exercise
  1. Prove that the figure formed by joining the mid-points of the pairs of...

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  2. Show that if P,A,B are any three points, then lambda vec(PA)+mu vec(PB...

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  3. Obtain the dot product of the vectors : veca=veci-hatj+hatk and vecb=v...

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

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  5. If veca=7hati+hatj-4hatk and vecb=2hati+6hatj+3hatk find the projectio...

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  6. Let veca=2hati+3hatj+2hatk and vceb=hati+2hatj+hatk. Find the projecti...

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  7. Find the projection of the vector hati-hatj on the vector hati+hatj.

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  8. Find veca.vecb If veca=3hati-hatj+2hatk and vecb=2hati+3hatj+3hatk

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  9. Find veca.vecb If veca=2hati-hatj+hatk and vecb=2hatj-hatk.

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  10. Evaluate the product (3 hata-5hatb) cdot(2hata+7hatb)

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  11. If veca is a unit vector and (vecx - veca) cdot (vecx + veca) = 8, th...

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  12. If veca is a unit vcetor and (vecx-veca)*(vecx+veca)=80, then find |ve...

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  13. If vecp is a unit vcetor and (vecx-vecp)*(vecx+vecp)=80, then find |ve...

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  14. Find |vecx|, if for a unit vector veca, (vecx - veca)cdot(vecx+veca)...

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  15. Find the angle between the vectors : hati-hatj and hatj-hatk.

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  16. Find the angle between the vectors : hati+hatj+hatk and hati+hatj-hatk...

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  17. Find the angle between the vectors veca=hati-2hatj+3hatk and vecb=3hat...

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  18. Find the angle between the vectors : veca=hati+hatj-hatk and vecb=hati...

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  19. Find the angle between the vectors : veca=3hati-2hatj+hatk and vecb=ha...

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  20. Find the angles between the vectors veca=2hati-hatj+2hatk,vecb=6hati...

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