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Show that, (veca-vecb)xx(veca+vecb) = 2(...

Show that, `(veca-vecb)xx(veca+vecb) = 2(vecaxxvecb)`.

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L.H.S. = `(veca-vecb)xx(veca+vecb)`
=`vecaxxveca+vecaxxvecb-vecbxxveca-vecbxxvecb`
=`vec0+(vecaxxvecb)+(vecaxxvecb)-vec0` Since `vecaxxvecb =-vecbxxveca`
=`2(vecaxxvecb) = R.H.S.
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MAHAVEER PUBLICATION-VECTOR-QUESTION BANK
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  3. Show that, (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb).

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  4. Find the scalar triple product vectors hati+2hatj+3hatk, hati-hatj+hat...

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  5. Find lambda if the vectors hati+hatj+2hatk, lambdahati-hatj+hatk and 3...

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  6. Show that the points A(-2, 3, 5), B(1, 2, 3) and C(7, 0, -1) are colli...

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  7. Show that the points with position vectors hati+2hatj+7hatk, 2hati+6ha...

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  8. Find the angle between the vectors hati-2hatj+3hatk and 3hati-2hatj+ha...

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  9. Show that the vectors 1/7(2hati+3hatj+6hatk), 1/7 (3hati-6hatj+2hatk) ...

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  10. If veca = 5hati-hatj-3hatk, vecb = hati+3hatj-5hatk then show that the...

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  11. If veca = 2hati+2hatj+3hatk, vecb = -hati+2hatj+hatk and vecc = 3hati...

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  12. Find x,y,z if hati+hatj+2hatk, -hati+zhatk and 2hati+xhatj+yhatk are m...

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  13. Find a vector and unit vector perpendicular to each of the vector veca...

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  14. Find a vector of magnitude 11 in the direction opposite to that of vec...

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  15. If the points (-1,-1,2) ,(2,m,5) and (3,11,6) are co-linear then find ...

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