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Find the sum of the vectors veca = veci-...

Find the sum of the vectors `veca = veci-2vecj+veck, vecb = -2veci+4vecj+5veck, vecc = veci-6vecj-7veck`

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Show that the points A, B and C with position vectors, veca=3veci-4vecj-4veck, vecb=2veci-vecj+veck, vecc=veci-3vecj-5veck , respectively form the vertices of a right angled triangle.

Find angle 'Ɵ' between the vectors veca = veci + vecj - veck and vecb = veci - vecj + veck .

Find a unit vector perpendicular to each of the vectors (veca + vecb) and (veca - vecb) , where veca = veci + vecj + veck, vecb = veci+2vecj+3veck

Find the projection of the vector veca = 2veci + 3vecj + 2veck on the vector vecb = veci + 2vecj + veck

Find a unit vector perpendicular to each of the vector veca + vecb and veca - vecb where veca = 3veci + 2vecj + 2veck and vecb = veci + 2vecj - 2veck

Find the direction cosines of the vector veci+2vecj+3veck ।

For given vectors, veca = 2veci - vecj + 2veck, vecb = -veci + vecj - veck find the unit vector in the direction of the vector veca+vecb

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PSEB-VECTOR ALGEBRA-Exercise
  1. Find the values of x and y so that the vectors 2veci+3vecj and xveci+y...

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  2. Find the scalar and vector components of the vector with initial point...

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  3. Find the sum of the vectors veca = veci-2vecj+veck, vecb = -2veci+4vec...

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  4. Find the unit vector in the direction of the vector veca = veci+vecj+2...

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

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  6. For given vectors, veca = 2veci - vecj + 2veck, vecb = -veci + vecj - ...

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  7. Find a vector in the direction of vector 5veci - vecj + 2veck which ha...

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  8. Show that the vectors 2veci-3vecj+4veck, -4veci+6vecj-8veck are collin...

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  9. Find the direction cosines of the vector veci+2vecj+3veck ।

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

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  11. Show that the vector veci+vecj+veck is equally inclined to the axes O...

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

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

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  14. Find the position vector of the mid point of the vector joining the po...

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  15. Show that the points A, B and C with position vectors, veca=3veci-4ve...

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  16. If vec a and vec b are two collinear vectors then which of the followi...

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  17. Find the angle between two vectors veca and vecb with magnitudes sqrt3...

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  18. Find the angle between the vectors veca=hati-2hatj+3hatk and vecb=3hat...

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  19. Find the projection of the vector hati + hatj on the vector hati -hatj

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  20. Find the projection of the vector veci + 3vecj + 7veck on the vector ...

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