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If (1)/(2),(1)/(sqrt(2)) a are the direc...

If `(1)/(2),(1)/(sqrt(2))` a are the direction cosines of some vector, then find a.

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SURA PUBLICATION-VECTOR ALGEBRA -I-EXERCISE 8.2
  1. Find the direction cosines and direction ratios for the following vect...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. The position vectors veca,vecb,veccof three points satisfy the relatio...

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  18. The position vectors of the points P,Q,R,S are hati+hatj+hatk,2hati+5h...

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  19. Find the value or values of m for which m (hati+hatj+hatk) is a unit v...

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  20. Show that the points A (1,1,1), B (1,2,3) and C (2,-1,1) are vertices ...

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