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Show that the points A,B and C with posi...

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

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Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5hatkandvecc=hati-6hatj-7hatk .

Show that the vectors 2hati-hatj+hatk,hati-3hatj-5hatkand3hati-4hatk form the vertices of a right angled triangle.

If the vectors vec a=2hati-hatj+hatk, vec b=hati+mhatj-3hatk and vec c =3hati-4hatj+5hatk are coplanar, then find m.

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

The position vectors of points A,B and C are hati+hatj+hatk,hati + 5hatj -hatk and 2hati + 3hatj + 5hatk , respectively the greatest angle of triangle ABC is

If veca=hati+3hatj+hatk, vecb=2hati-hatj-hatk and vec c=m hati+7hatj+3hatk are coplanar, then the value of m is -

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

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

Calculate the unit vector along vecA=3hati+4hatj-hatk .

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

NCERT BANGLISH-VECTOR ALGEBRA-EXERCISE 10.2
  1. Compute the magnitude of the following vectors : veca=hati+hatj+k,...

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  2. Write two different vectors having same magnitude.

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  3. Write two different vectors having same direction.

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  4. Find the values of x and y so that the vectors 2hati+3hatjandxhati+yh...

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  5. Find the scalar and vector components of the vector with initial poi...

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

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  7. Find the unit vector in the direction of the vector veca=hati+hatj+2h...

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  8. Find the unit vector in the direction of vector vec(PQ) , where P and ...

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  9. For given vectors veca=2hati-hatj+2hatkandvecb=-hati+hatj-hatk, find t...

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  10. Find a vector in the direction of vector 5hati-hatj+2hatk which has ma...

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  11. Show that the vectors 2hati-3hatj+4hatkand-4hati+6hatj-8hatk are coll...

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

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  13. Find the direction cosines of the vector joining the points A(1,2,-3)...

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  14. Show that the vector hati+hatj+hatk is equally inclined to the axes OX...

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  15. Find the position vector of a point R which divides the line joing two...

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  16. Find the position vector of the mid point of the vector joining the p...

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  17. Show that the points A,B and C with position vectors , veca=3hati-4hat...

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  18. In triangle ABC which of the following is not true :

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  19. If vecaandvecb are two collinear vectors , then which of the following...

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