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Given that vecx + 1/(vecp)^2 (vecp . vec...

Given that `vecx + 1/(vecp)^2 (vecp . vecx) vecp = vecq` , show that `vecp · vecx = 1/2 vecp . vecq` and find `vecx` in terms of `vecp` and `vecq`

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The correct Answer is:
`bar(x) = bar(q) - ((vec(p).vec(q))vec(p))/(2p^(2))`
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MOTION-VECTOR -EXERCISE - 3
  1. If hat(e(1)) and hat(e(2)) are two unit vectors such that vec(e(1))...

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  2. For any two vectors veca and vecb, prove that ((veca )/(|vec a |^2)-...

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  3. Given that vecx + 1/(vecp)^2 (vecp . vecx) vecp = vecq , show that vec...

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  4. .Find out whether the following pairs of lines are parallel, non-paral...

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  5. Find out whether the following pairs of lines are parallel, non parall...

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  6. Find out whether the following pairs of lines are parallel, non parall...

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  7. Let O A C B be a parallelogram with O at the origin andO C a diagonal....

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  8. Find the shortest distance between the lines : vec(r) = (4hat(i) - ha...

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  9. Let vec(A) = 2hat(i) + hat(k), vec(B) = hat(i) + hat(j) + hat(k) and ...

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  10. Find vector vec(v) which is coplanar with the vectors hat(i) + hat(j...

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  11. Find the point R in which the line AB cuts the plane CDE, where positi...

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  12. The position vectors of the angular points of a tetrahedron are A(3 ha...

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  13. Show that the four points with position vectors4 hat i+8 hat j+12 hat ...

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  14. Examine for coplanarity of the following sets of points 3vec(a) + 2...

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  15. The length of the edge of the regular tetrahedron DABC is 'a'. Point E...

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  16. The position vectors of the four angular points of a tetrahedron ar...

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  17. The position vectors of the four angular points of a tetrahedron ar...

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  18. The position vectors of the four angular points of a tetrahedron ar...

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  19. The position vectors of the four angular points of a tetrahedron ar...

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  20. ABCD is a tetrahedron with pv's of its angular point as A(-5, 22, 5); ...

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