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Show that the vector hati+hatj+hatk is e...

Show that the vector `hati+hatj+hatk` is equally inclined to the axes OX, OY and OZ.

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Show that the direction cosines of a vector equally inclined to the axes OX,OY and OZ are +-((1)/(sqrt(3)),(1)/(sqrt(3)),(1)/(sqrt(3))) .

Angle between the vectors hati +hatj and hati-hatk is

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

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

What is the value of the resultant of three vectors hati , hatj and sqrt(2)hatk ? What angle of inclination does the resultant make with x,y and z axes ?

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

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

Find the magnitude of the vector 3hati+4hatj+12hatk and the angles it makes with x,y,z axes.

The angles which the vector vecA =3hati+6hatj+2hatk makes with the coordinate axes are

vecA =2hati +3hatj+4hatk & vecB=hati- hatj + hatk are two given vectors. Find out the value of barA xx barB .

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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