Let `veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-2hatj+4hatk` . Find a vector `vecd` which perpendicular to both `veca and vecb and vecc.vecd=15`.

If veca=4hatj+5hatj-hatk,vecb=hati-4hatj+4hatk and vecc = 3hati+hatj+hatk Find a vector vecd which is perpendicualr to both veca and vecb and vecd.vecc = 21 .

Let veca=hati-hatj, vecb=hati-hatk and vecc=7hati-hatk. Find a vector hatd which is perpendicular to vectors veca and vecb and satisfies the condition vecc.vecd =1.

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

Let veca=hati+hatj+hatk, vecb=hati-hatj+hat2k and vecc=xhati+(x-2)hatj-hatk . If the vector vecc lies in the plane of veca and vecb then x equals

If veca=2hati-hatj+hatk and vecb=3hati+4hatj-hatk , prove that vecaxxvecb represents a vector which perpendicular to both veca and vecb .

If veca=7hati+3hatj-6hatk , vecb=2hati+5hatj-hatk and vecc=-hati+2hatj+4hatk . Find (veca-vecb)xx(vecc-vecb) .

If veca=3hati+hatj-4hatk and vecb=6hati+5hatj-2hatk find |veca Xvecb|

If veca=hati+hatj+hatk, vecb=2hati-hatj+3hatk and vecc=hati-2hatj+hatk find a unit vector parallel to ther vector 2veca-vecb+3c .

Let veca -2hati + hatj +hatk , vecb =hati + 2hatj +hatk and vecc = 2hati -3hatj +4hatk . A " vector " vecr " satisfying " vecr xx vecb = vecc xx vecb and vecr . Veca =0 is