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Show that the vectors 2hati-3hatj+4hatk ...

Show that the vectors 2`hati-3hatj+4hatk` are -4`hati+6hatj-8hatk` are collinear.

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

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

Examine whether the vectors hati+3hatj+hatk,2hati-hatj-hatk and 7hatj+5hatk are coplanar.

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

Show that the points vectors are 2hati+3hatj-5hatk,3hati+hatj-2hatk and 6hati-5hatj+7hatk are collinear.

The unit vector parallel to the resultant of the vectors 2hati+3hatj-hatk and 4hati-3hatj+2hatk is

Show that the vectors veca=2hati+3hatj+6hatk,vecb=6hati+2hatj-3hatk, " ""and"" "vecc=3hati-6hatj+2hatk , are mutually orthogonal.

Show that the vectors -hati-2hatj-6hatk,2hati-hatj+hatk" " and -hati+3hatj+5hatk, form a right angled triangle.

Show that the points whose position vectors 4hati + 5hatj + hatk, -hatj -hatk, 3hati + 9hatj + 4hatk and -4hati + 4hatj + 4hatk are coplanar.

NCERT TAMIL-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 the 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 point...

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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 Q...

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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 5 hat i - hat j + 2 hat k whi...

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

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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 with the coord...

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  15. Find the position vector of a point R which divides the line joining t...

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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 vec a and vec b are collinear vectors, then which of the following ...

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