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If veca=2veci-3vecj+5veck,vecb=-veci+4ve...

If `veca=2veci-3vecj+5veck,vecb=-veci+4vecj+2veck`, then find `vecaxxvecb` and unit vector perpendicular to both a and b.

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If veca=2veci-vecj+veck and vecb=veci-3vecj-5veck , then find |vecaxxvecb| .

If veca=2veci-3vecj+veck and vecb=veci+4vecj-2veck , then find (veca+vecb)xx(veca-vecb) .

If veca=2veci+2vecj-3veck,vecb=3veci-vecj+2veck , then find the angle between 2veca+vecb and veca+2vecb .

If veca=6veci+2vecj+3veck and vecb=2veci-9vecj+6veck then find veca.vecb and the angle between veca and vecb .

If veca=2veci+3vecj+4veck,vecb=veci+vecj-veck and vec(c)=veci-vecj+veck , then compute vecaxx(vecbxxvec(c)) and verify that it is perpendicular to veca .

If veca=veci-vecj-veck and vecb=2veci-3vecj+veck , then find the projection vector of vecb on veca and its magnitude.

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PRODUCT OF VECTORS-SOLVED PROBLEMS
  1. Find the angle between the planes 2x-3y-6z=5 and 6x+2y-9z = 4.

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  2. Find unit vector orthogonal to the vector 3bari + 2barj + 6bark and co...

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  3. If veca=2veci-3vecj+5veck,vecb=-veci+4vecj+2veck, then find vecaxxvecb...

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  4. If bar(a)=2bar(i)-3bar(j)+5bar(k),bar(b)=-bar(i)+4bar(j)+2bar(k), then...

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  5. Find the area of the parallelogram for which the vectors veca=2veci-3v...

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  6. If vec(a) xx vec(b) = vec(c ) xx vec(d) and vec(a) xx vec(c )= vec(b) ...

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  7. If bar(a) = bar(i) + 2bar(j) + 3bar(k), bar(b) = 3bar(i) +5bar(j) -bar...

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  8. Let veca=2veci-j+veck and vecb=3i+4j-veck. If theta is the angle betwe...

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  9. Let vec(a), vec(b), vec(c ) be such that vec(c ) ne vec(0), vec(a) xx ...

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  10. Let veca = 2 hati+hatj-2hatk, vecb=hati+hatj. If vecc is a vector suc...

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  11. Let bar(a),bar(b) be two non-collinear unit vectors, if bar(alpha) = b...

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  12. A non-zero vector bar(a), is parallel to the line of intersection of t...

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  13. If vec(a)= 4vec(i) + 5vec(j)- vec(k), vec(b)= vec(i)- 4vec(j) + 5vec(k...

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  14. For any vector bar(a) show that |bar(a) xx bar(i)|^(2) + |bar(a) xx ba...

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  15. If veca is non-zero vector and b,vec(c) are two vector such that vecax...

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  16. Prove that the vectors vec(a)=2veci-vecj+veck,vecb=veci-3vecj-5veck an...

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  17. Find the volume of the parallelopiped having co-tenninus edges are rep...

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  18. If the vectors veca=2veci-vecj+veck,vecb=veci+2vecj-3veck and vecc=3ve...

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  19. Show that vecixx(vecaxxveci)+vecjxx(vecaxxvecj)+kxx(vecaxxveck)=2veca ...

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  20. Prove that for any three vectors veca,vecb,vec(c),[b+c" "c+a" "a+b]=2[...

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