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If veca and vecb are any two vectors, pr...

If `veca and vecb` are any two vectors, prove that `(vecaxxvecb)^(2)=|veca|^(2)|vecb|^(2)-(veca.vecb)^(2)` It is known as Largange's indentity.

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If veca" and "vecb are any two vectors, then (veca xx vecb)^(2)= |veca|^(2)|vecb|^(2)-(veca* vecb)^(2) .

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

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

If |veca|=a and |vecb|=b , prove that ((veca)/(a^2)-(vecb)/(b^2))^2=((veca-vecb)/(ab))^2 .

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BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION V)
  1. If veca=hati+hatj-3hatk and vecb=hatj+2hatk find |2vecb+veca|

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  2. Find a unit vector perpendicular to both veca and vecb if veca=4hati...

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  3. Find a unit vector perpendicular to both veca and vecb if veca=3hati...

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  4. Find a unit vector perpendicular to both veca and vecb if veca=4hati...

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  5. Find the unit vector perpendicular to veca+vecb and veca-vecb if vec...

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  6. Find a vector of magnitude 5 units, perpendicular to both veca+vecb an...

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  7. Find the value of p for which veca=3hati+2hatj+12hatk and vecb=hati+ph...

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  8. Find the value of lambda if two vectors 2hati+3hatj-hatk and 4hati+6ha...

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  9. Find the area of a parallelogram whose adjacent sides are given by v...

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  10. Find the area of a parallelogram whose adjacent sides are given by v...

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  11. Find the area of a parallelogram whose adjacent sides are given by v...

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  12. Find the area of a parallelogram whose adjacent sides are given by v...

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  13. Find the area of the triangle (using vectors) with vertices A(3,-1,2),...

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  14. With help of vectors find the area of the triangle with vertices A(2,3...

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  15. Find the sine of the angle between the vectors veca=2hati-3hatj+4hatk,...

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  16. If veca and vecb are any two vectors, prove that (vecaxxvecb)^(2)=|vec...

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  17. If |veca|=5,|vecb|=4 and veca.vecb=16 find |vecaxxvecb|.

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  18. If veca,vecb,vecc are any three vectors then prove that. vecaxx(vecb...

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  19. If vecaxxvecb=veccxxvecdand vecaxxvecc=vecbxxvecd, show that veca-vecd...

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  20. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

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