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Shiw tgat |vec A= vec B|^2 - |vec A- ve...

Shiw tgat ` |vec A= vec B|^2 - |vec A- vec B|^2 =4 vec A. vec B`.

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` |vec A| vec b|^2 = ( vec A+ vec B). ( vec A+ vec B)`
and ` |vec A- vec B|^2 = ) vec A- vec B). ( vec A- vec B)` .
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PRADEEP-KINEMATICS-3 Problems for practice
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  2. For what vlue of a, vec A = 2 hat i+ a hat j + hat k, is perpendicul...

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  3. Shiw tgat |vec A= vec B|^2 - |vec A- vec B|^2 =4 vec A. vec B.

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  4. Show that vec A = hat I - 5 hat j and vec B= 2 hat I - 10 hat j are...

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  5. Find the component of a vectro vec A = 3 hat I + 2 hat j along the di...

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  9. Determine the sine of the angle between the vectors ( 3 hat i+ 3hat j+...

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  10. Calculate the area of a paralleogeram whose adjcent sides are given by...

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  11. Find the area of the rriangle formed by the tips of the vectors, ve...

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  13. If | vec A| = 2, | vec B| =5 and | vec A xx vec B | =8 , din the va...

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  14. Dine the unit vector peroendicular to each of the vectors 3 hat i+ ha...

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  15. Fven that vec A xx vec B= vec B xx vec C = vec 0. If vec A. vec B a...

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  16. For any to vectors vec A and vec B, prove that |vec A xx vec B|^2 =...

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  17. Find the area of a traiangle formed by the tips of the vectors vec c ...

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  18. Three vector vec A, vec B and vec C are such that vec A= vec B+ vec ...

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  19. Find the vector sum of N coplanar forces, each of the magnitude F,when...

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  20. A vector vec A when added to the vector vec B = 3. 0 hat i+ 4 hat j y...

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