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If vec(a) xx vec(b)= vec(c) xx vec(d) an...

If `vec(a) xx vec(b)= vec(c) xx vec(d) and vec(a) xx vec(c) =vec(b) xx vec(d)," show that " (vec(a)- vec(d)) " is parallel to " (vec(b)-vec(c))`, it being given that` a !=d and b != c.`

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The correct Answer is:
`vec(0)`
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MODERN PUBLICATION-VECTOR ALGEBRA -Frequently Asked Questions (Example)
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  11. If vec(r )=x hat(i)+y hat(j)+x hat(k), find : (vec(r )xx hat(i)).(vec...

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

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  13. Find a vector of magnitude 7 units, which is perpendicular to two vect...

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  14. Find the area of the parallelogram whose adjacent sides are determined...

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  15. Find the area of a parallelogram whose adjacent sides are given by th...

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  16. Find the area of a triangle having the pointsA(1, 1, 1), B(1, 2, 3)and...

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  17. If vec(a)=2hat(i)-3hat(j)+4hat(k) and vec(b)=5hat(i)+hat(j)-hat(k) r...

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  18. If vec(a), vec(b), vec(c ) are the position vectors of the vecrtices A...

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  19. Largange's Identify. Prove that (vec(a)xx vec(b))^(2)=|vec(a)|^(2)|vec...

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  20. Show that vec(a)xx vec(b)=vec(a)xx vec(c ) does not imply vec(b)=vec(c...

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