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Three vectors which are coplanar with re...

Three vectors which are coplanar with respect to a certain reactangular coordinate system are given by `veca=4veci-vecj,vecb= -3veci+2vecj` and `vec c = -3vecj`.Find (i)`veca+vecb+vec c`,(ii)`veca+vecb-vec c`.

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The correct Answer is:
`(sqrt5,297^@),(sqrt17,75^@39')`
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NN GHOSH-VECTOR AND SCALARS-All Questions
  1. If veca=x1veci+y1vecj and vecb=x2veci+y2vecj, find the condition that ...

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  2. If veca=4veci-3vecj and vecb=6veci+8vecj, find the magnitude and direc...

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  3. Three vectors which are coplanar with respect to a certain reactangula...

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  4. Find the angle between veca=3veci+3vecj-3veck and vecb=2veci+vecj+3vec...

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  5. A car is driven eastward for a distance of 50 km, then northward for 3...

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  6. Four forces of magnitude P, 2P, 3P and 4P act along the four sides of ...

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  7. Find the direction cosines and unit vector along the vector vecr=2veci...

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  8. Prove by the method of vectors that in a triangle a/(sin A)=b/(sinB)=c...

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  9. Show that if vecA. (vecBxxvec c)=0, then vecA, vecB and vec c are copl...

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  10. Show that veca.(vecbxxvec c) is equal in magnitude to the volume of th...

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  11. Prove that for a vector veca defined by veca=axveci+ayvecj+azveck, the...

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  12. If vecb and vec c be the intersecting face-diagonals of a cube of edge...

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  13. Show that the position vector of a place on the surface of the earth w...

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  14. A man rows a boat with a speed 10 m/s along N-E direction. The shore l...

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  15. A force vecF=5veci+2vecj+veck displaces a body from a point with coord...

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  16. If the sum and difference of two vectors are at right angles, show tha...

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  17. Prove that (vecaxxvecb)^2=veca^2b^2-(veca.vecb)^2.

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  18. Show that if two vectors are equal in magnitude, their vector sum and ...

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  19. Find the area of the parallelogram whose sides are represented by 2h...

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  20. Show that (veca+vecb)xx(veca-vecb)=-2(vecaxxvecb) and use this result ...

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