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Find the volume of the parallelopiped ha...

Find the volume of the parallelopiped having co-tenninus edges are represented by the vectors `2 bar(i) - 3bar(j) + bar(k), bar(i) -bar(j) +2bar(k), 2bar(i) + bar(j) -bar(k)`.

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The correct Answer is:
14 cubit units.
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Find t, for which the vectors 2bar(i) - 3bar(j) + bar(k), bar(i) + 2bar(j) -3bar(k) , bar(j) - tbar(k) are coplanar.

Compute [bar(i) - bar(j). bar(j) - bar(k). bar(k) -bar(i)] .

Find the vector area and area of the triangle with vertices bar(i) + bar(j)-bar(k), 2bar(i)- 3bar(j) + bar(k), 3 bar(i) + bar(j)- 2bar(k) .

Find the value of [bar(i)+bar(j)+bar(k),bar(i)-bar(j),bar(i)+2bar(j)-bar(k)] .

Find the volume of the tetrahedron having the edges , bar(i) + bar(j) + bar(k), bar(i)-bar(j), bar(i) + 2bar(j) + bar(k) .

Compute 2 bar(j) xx (3bar(i) - 4bar(k)) + (bar(i)+2bar(j)) xx bar(k) .

Find unit vector perpendicular to both bar(i) + bar(j) + bar(k) and 2bar(i) + bar(j) + 3bar(k) .

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PRODUCT OF VECTORS-SOLVED PROBLEMS
  1. A non-zero vector bar(a), is parallel to the line of intersection of t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Show that the vector area of the quadrilateral ABCD having diagonals v...

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