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

Show that `(veca-vecb)xx(veca+vecb) = 2(vecaxxvecb)`. Interpret this result geometrically.

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TRIGONOMETRIC FUNCTIONS
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Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2 .

Find veca*(vecaxxvecb).

|veca| = |vecb| = veca = vecb .

Prove that (veca.vecb)^2=a^2b^2-(veca xx vecb)^2

If a and b are perpendicular vectors show that (veca+vecb)^2 = (veca-vecb)^2 . [(veca+vecb)^2 means (veca+vecb).(veca+vecb) , so does (veca-vecb)^2 .]

Prove that : |veca + vecb|le|veca|+|vecb| .

If (veca + vecb).(veca-vecb) = 0 show that |veca| = |vecb| .

What is abs(veca-vecb)=if abs(veca)=3,abs(vecb)=4 and abs(veca+vecb)=5 ?

Find the angle between veca and vecb if |vecaxxvecb| = veca.vecb

Prove that veca xx (vecb xx vecc) + vecb xx (vecc xx veca) + vecc xx (veca xx vecb) = vec0 and hence prove that veca xx (vecb xx vecc), vecb xx (vecc xx veca), vecc xx (veca xx vecb) are coplanar.

MBD PUBLICATION-VECTORS-QUESTION BANK

If veca = 3hati+hatj-2hatk, vecb = 2hati-3hatj+4hatk then verify that ...
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Find the area of the parallelogram whose diagonals are vectors 3hati+h...
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Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb). Interpret this res...
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Each question given below has four possible answers out of which only ...
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(-veca).vecbxx(-vecc)) =
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For the non-zero vectors veca, vecb and vecc, veca.(vecbxxvecc) = 0 if
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Find the scalar triple product vecb.(veccxxveca) where veca, vecb and ...
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Find the scalar triple product vecb.(veccxxveca) where veca, vecb and ...
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Find the volume of the parallelopiped whose sides are given by the vec...
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Find the volume of the Parallelepiped whose sides are given by the vec...
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Show that the following vector are co-planar. hati-2hatj+2hatk, 3hati+...
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Show that the following vector are co-planar. hati+2hatj+3hatk, -2hati...
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Find the value of lambda so that the three vectors are co-planar. hati...
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Find the value of lambda so that the three vectors are co-planar. (2,-...
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If veca, vecb and vecc mutually perpendiculars, show that [veca.(vecbx...
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Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]
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Prove that [vecaxxvecbvecbxxveccveccxxveca] = [vecavecbvecc]^2
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For veca = hati+hatj, vecb = -hati+2hatk, vecc = hatj+hatk, obtain vec...
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Prove that vecaxx(vecbxxvecc)+ vecbxx(veccxxveca)+veccxx(vecaxxvecb) =...
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If veca, vecb, vecc be unit vectors and vecaxx(vecbxxvecc) = 1/2hatb, ...
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