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Show that the vectors 2veci-3vecj+4veck,...

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

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

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

If veca = 5veci - vecj -3veck and vecb = veci + 3vecj - 5veck , then show that the vectors veca + vecb and veca - vecb are perpendicular.

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

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.

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

Show that the vectors veca=2hati+3hatj and vecb=4hati+6hatj are parallel.

Show that the vector veci+vecj+veck is equally inclined to the axes OX, OY and OZ.

Find a if the vectors vecx=2hati-3hatj+4hatk and vecy=ahati+6hatj-8hatk are collinear?

For what value of lambda , the vectors (lambda-2)veca+vecb and (4lambda-2)veca+3vecb are collinear

PSEB-VECTOR ALGEBRA-Exercise
  1. For given vectors, veca = 2veci - vecj + 2veck, vecb = -veci + vecj - ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Show that the given vector is a unit vector: (1/7)(2hati + 3hatj + 6h...

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  17. Show that the given vector is a unit vector: (1/7)(3hati - 6hatj + 2h...

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  18. Show that the given vector is a unit vector: (1/7)(6veci + 2vecj - 3v...

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  19. Find |veca| and |vecb|, if (veca+vecb)*(veca-vecb)=8 and |veca|=8|vecb...

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  20. Evaluate the product (3 hata-5hatb) cdot(2hata+7hatb)

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