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

If `vec(a)= 4vec(i) + 5vec(j)- vec(k), vec(b)= vec(i)- 4vec(j) + 5vec(k) and vec(c )= 3vec(i) + vec(j)- vec(k)`, the find vector `vec(alpha)` which is perpendicular to both `vec(a), vec(b) and vec(alpha).vec(c )= 21`

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The correct Answer is:
`7(veci-vecj-veck)`.
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PRODUCT OF VECTORS-SOLVED PROBLEMS
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  2. A non-zero vector bar(a), is parallel to the line of intersection of t...

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

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

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

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

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

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

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

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

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  11. For any three vectors veca,vecb,vec(c) prove that [vecbxxvec(c)" "vec(...

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  12. If a,b,c are three unit vectors such that a xx (b xx c) = (1)/(2) b th...

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  13. Find the equation of the plane passing through the point A=(2,3,-1),B=...

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  14. Find the equation of the plane passing through the point A=(3,-2,-1) a...

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  15. Find the vector equation of the plane passing through the intersection...

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  16. Find the distance of a point (2,5,-3) from the planer r.(6i-3j+2k)=4

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  17. Find the angle between line (x+1)/2 = y/3 = (z-3)/6 and the plane 10x ...

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  18. For any four vectors a,b,c and d, (axxb)xx(cxxd)=["a c d"]b-["b c d"]a...

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  19. Find the shortest distance between the skew lines . bar(r)=(6bar(i)...

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  20. Prove that angle in a semi circle is a rightangle by using Vector meth...

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