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Let bar(a),bar(b) be two non-collinear u...

Let `bar(a),bar(b)` be two non-collinear unit vectors, if `bar(alpha) = bar(a) -(bar(a).bar(b))bar(b)` and `bar(beta) = bar(a) xx bar(b),` then show that `|bar(beta)| = |bar(alpha)|`.

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PRODUCT OF VECTORS-SOLVED PROBLEMS
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  2. Let veca = 2 hati+hatj-2hatk, vecb=hati+hatj. If vecc is a vector suc...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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