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Find the sum of the vectors veca=hati-2h...

Find the sum of the vectors `veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5hatk and vecc=hati-6hatj-7hatk`

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Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb=2hati-hatj+hatk and vecc=hati-3hatj-5hatk respectively form the vertices of a right angled triangle.

Show that the vectors veca=hati-2hatj+3hatk,vecb=-2hati+3hatj-4hatk and vecc=hati-3hatj+5hatk are coplanar.

Find lambda , if the vectors veca=hati+3hatj+hatk,vecb=2hati-hatj-hatk and vecc=lambdahatj+3hatk are coplanar.

The sum of the vectors veca=hati-3hatk, vecb=2hatj-hatk,vecc=2hati-3hatj+2hatk is 3hati-hatj-2hatk .

Show that the following vectors are coplanar : veca=hati-2hatj+3hatk,vecb=-2hati+3hatj-4hatk and vecc=hati-3hatj+5hatk .

MODERN PUBLICATION-VECTORS-Exercise
  1. Write two different vectors having same magnitude.

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  2. Write two different vectors having same direction.

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  3. Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5ha...

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  4. Find the vector with initial point P(-4,2) and terminal point Q(0,-4).

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  5. Find a unit vector in the direction from : P(3,2) towards Q(5,6).

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  6. Find a unit vector in the direction from : P(1,2) towards Q(4,5).

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  7. Compute the magnitude of the following vectors: vecc=(1/sqrt3)veci+(1/...

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  8. Find the magnitude of the vector hati-3hatj+4hatk.

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  9. Find the value of x for which x(hati + hatj + hatk) is a unit vector.

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  10. Find the unit vector in the direction of the vector veca=hati+hatj+2ha...

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  11. Find the unit vector in the direction of the vector : veca =2hati+3hat...

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  12. Find the unit vector in the direction of the vector : veca =3hati+2hat...

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  13. Find the unit vector in the direction of the vector : vecb =2hati+hatj...

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  14. Find the unit vector in the direction of the vector : veca =2hati-3hat...

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  15. Find the unit vector in the direction of vector vec(PQ, where P and Q ...

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  16. Find the values of x and y so that the vectors 2veci+3vecj and xveci+y...

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  17. Find the values of x,y and z so that the vectors : veca=xhati+2hatj+zh...

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  18. Let a. =hati+2hatj and vecb =2hati+hatj. Is |veca |=|vecb |? Are the v...

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  19. If veca = vecb + vecc, then is it true that |veca| = |vecb| + |vecc|?...

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  20. Find the direction cosines of the vector hati+2hatj+3hatk

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