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Find the direction cosines and direction...

Find the direction cosines and direction ratios for the following vectors.
`3hat(i)-4hat(j)+8hat(k)`

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The correct Answer is:
`therefore` Direction cosines are ((3)/(sqrt 89),(-4)/(sqrt 89),(8)/(sqrt 89))
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Find the magnidude and direction cosines of the torque of a force represented by 3hat(i)+4hat(j)-5hat(k) about the point with position vector 2hat(i)-3hat(j)+4hat(k) acting through a point whose position vector is 4hat(i)+2hat(j)-3hat(k).

PREMIERS PUBLISHERS-Vector Algebra -I-Solution to Exercise(8.2)
  1. Find the direction cosines of a vector whose direction ratios are (i) ...

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  2. Find the direction cosines of a vector whose direction ratios are (i) ...

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  3. Find the direction cosines and direction ratios for the following vect...

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  4. Find the direction cosines and direction ratios for the following vect...

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  5. Find the direction cosines and direction ratios for the following vect...

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  6. Find the direction cosines and direction ratios for the following vect...

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  7. Find the direction cosines and direction ratios for the following vect...

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  8. Find the direction cosines and direction ratios for the following vect...

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  9. A triangle is formed by joining the points (1,0,0), (0,1,0) and (0,0,1...

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  10. If (1)/(2),(1)/(sqrt(2)) a are the direction cosines of some vector, t...

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  11. If (a,a+b,a+b+c) is one set of direction ratios of the line joining (1...

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  12. Show that the vectors 2hat(i)-hat(j)+hat(k),3hat(i)-4hat(j)-4hat(k), h...

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  13. Find the value of lambda for which the vectors veca=3hat(i)+2hat(j)+9h...

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  14. Show that the vectors are coplanar hat(i)-2hat(j)+3hat(k),-2hat(i)+...

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  15. Show that the following vectors are co-planar (ii) 5hati+6hatj+7hatk,7...

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  16. Show that the points whose position vectors 4hat(i)+5hatj+hatk,-hatj-h...

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  17. If veca=2hati+3hatj-4hatk,vecb=3hati-4hatj-5hatk, and vecc=-3hati+2hat...

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  18. If veca=2hati+3hatj-4hatk,vecb=3hati-4hatj-5hatk, and vecc=-3hati+2hat...

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  19. The position vectors of the vertices of a triangle are hati+2hatj+3hat...

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  20. Find the unit vector parallel to 3veca-2vecb+4vecc,"if"" "veca=3hati-h...

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