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Compute the magnitude of the following vectors: `veca=hati+hatj+hatk`

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Find the magnitude of the vector vecaxxvecb id : veca=2hati+hatj+hatk and vecb=hati-2hatj+hatk .

Show that the following vectors are coplanar : veca=hati-2hatj+3hatk,vecb=-2hati+3hatj-4hatk and vecc=hati-3hatj+5hatk .

Find a vector of magnitude 5 units, and parallel to the resultant of the vectors veca = 2hati + 3hatj - hatk and vecb = hati-2hatj+hatk

Find the magnitude of the vector vecaxxvecb if : veca=2hati+hatk and vecb=hati+hatj+hatk .

Find a unit vector perpendicular to the plane containing the vectors : veca=2hati+hatj+hatk and vecb=hati+2hatj+hatk .

For what value of 'lambda' is the following vectors coplanar ? veca=2hati-4hatj+5hatk,hati-lambda hatj+hatk and 3hati+2hatj-5hatk .

PSEB-VECTOR ALGEBRA-Exercise
  1. Classify the following as scalar and vector quantities: velocity

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  2. Classify the following as scalar and vector quantities:work done

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  3. Compute the magnitude of the following vectors: veca=hati+hatj+hatk

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  4. Compute the magnitude of the following vectors: vecb=2veci-7vecj-3veck...

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  5. Compute the magnitude of the following vectors: vecc=(1/sqrt3)veci+(1/...

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  6. Write two different vectors having same magnitude.

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  7. Write two different vectors having same direction.

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

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

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

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

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

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

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

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

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

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

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

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

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

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