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if veca=veci+vecj+veck, vecb=2veci+xvecj...

if `veca=veci+vecj+veck, vecb=2veci+xvecj+veck, vecc=veci-vecj+4veck` and `veca.(vecbxxvecc)=70` then x=

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`vecBxxvecC=(veci+2veck)xx(vecj-veck)`
`=vecixx(vecj-veck)+2veckxx(vecj-veck)`
`=vecixxvecj - vecixxveck + 2veckxxvecj - 2veckxxveck`
`=veck + vecj -2veci - 0`
`=-2veci + vecj + veck`.
`vecA.(vecBxxvecC) = (2veci - 3vecj +7veck).(-2veci + vecj + veck)`. `= (2) (-2) + (-3) (1) + (7) (1) = 0`
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If veca=2veci+vecj-veck , vecb=veci+2vecj+veck and vecc=veci-vecj+2veck then veca.(vecbxxvecc) =

If veca=xveci+vecj-veck,vecb=veci-vecj-veck,vecc=veci-2vecj+3veck and veca.vecb X vecc =7 then x is :

If veca =3veci+2vecj-4veck , vecb =5veci-3vecj+6veck , vecc =5veci+vecj+2veck ,fin(i) vecaxx(vecbxxvecc) (ii) (vecaxxvecb)xxvecc and show that they are not equal.

If veca=5veci-2vecj+3veck , vecb=2veci+vecj-veck find veca X vecb .

If veca=2veci+3vecj-5veck , vecb=-veci-vecj+2veck and vecc=4veci-2vecj+2veck Show that (vecaxxvecb)xxveccnevecaxx(vecbxxvecc) .

If veca=2veci+3vecj-veck, vecb=-2veci+5veck, vecc=vecj-3veck verify that veca xx(vecbxxvecc)=(veca.vecc)vecb-(veca.vecb)vecc.

If veca =2veci+3vecj-veck , vecb =2veci+5veck , vecc =vecj-3veck , verify that vecaxx(vecbxxvecc)=(veca.vecc)vecb-(veca.vecb)vecc .

If veca =veci-2vecj+veck,vecb=2veci-vecj+2veck, vecc=3veci+vecj-veck be such that ((veca)/(lambdavecb)) is perpendicular to c, the the value of lambda is:

If the edges veca=-3veci+7vecj+5veck , vecb=-5veci+7vecj-3veck , vecc=-7veci-5vecj-3veck meet a vertex, find the volume of the parallelepiped.

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HC VERMA-PHYSICS AND MATHEMATICS-work out Example
  1. If vec(A) is a vector of magnitude 4 units due east. What is the magn...

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  2. Find the resultant of the three vectors shown in figure . .

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  3. The sum of the three vectors shown in figure is zero. Find the magnitu...

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  4. The magnitude of vectors vec(OA), vec(OB) and vec (OC) in figure are e...

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  5. Find the resultant of the three vectors vec(OA), vec(OB) and vec(OC) s...

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  6. The resultant of vectors vec(OA) and vec(OB) is perpendicular to vec(O...

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  7. Find the unit vector in the direction of the vector veci-2vecj+3veck.

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  8. If abs(veca+vecb)=abs(veca-vecb) prove that veca and vecb are perpendi...

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  9. If veca=2veci+3vecj-4veck and vecb =5veci+2vecj+4veck, find the angle...

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  10. if veca=veci+vecj+veck, vecb=2veci+xvecj+veck, vecc=veci-vecj+4veck an...

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  11. The volume of a sphere is given by V= 4/3 pi R^3 where R is the ra...

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  12. Integrate the following functions with respect to x . sin^(2)5x

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  13. The minimum value of the function |3-x|+9 is

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  14. Figure shows the curve y=x^2. Find the area of the shaded part between...

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  15. Evaluate where A and omega are constants. int^t0 A sin omega dt

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  16. The velocity v and displacement x of a particle executing simple harmo...

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  17. The charge flown through a circuit in the time interval between t and ...

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  18. Evaluate (21.6002+234+2732.10)xx13.

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