Let `veca=hati-hatj, vecb=hatj-hatk, vecc=hatk-hati. If hatd` is a unit vector such that `veca.hatd=0=[vecb vecc vecd]` then `hatd` equals

If veca=hati+hatj, vecb=hatj+hatk, vec c hatk+hati , a unit vector parallel to veca+vecb+vecc .

Let veca = hati + hatj +hatjk, vecc =hatj - hatk and a vector vecb be such that veca xx vecb = vecc and veca.vecb=3 . Then |vecb| equals:

Let veca=hati-2hatj+hatkand vecb=hati-hatj+hatk be two vectors. If vecc is a vector such that vecbxxvecc=vecbxxveca and vecc*veca=0, theat vecc*vecb is equal to:

If veca=hati+hatj+hatk and vecb=hatj-hatk find a vector vecc such that vecaxxvecc=vecb and veca.vecc=3 .

Let veca = 2hati + hatj + hatk, and vecb = hati+ hatj if c is a vector such that veca .vecc = |vecc|, |vecc -veca| = 2sqrt2 and the angle between veca xx vecb and vec is 30^(@) , then |(veca xx vecb)|xx vecc| is equal to

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.

Let veca=hati-hatj+hatk, vecb=2hati+hatj+hatk and vecc=hati+hatj-2hatk , then the value of [(veca, vecb, vecc)] is equal to

Let veca=hati-hatj,vecb=hati+hatj+hatk and vecc be a vector such that vecaxxvecc+vecb=vec0 and veca.vecc=4 , then |vecc|^(2) is equal to:

Let veca=hati+hatj-hatk, vecb=hati-hatj+hatk and vecc be a unit vector perpendicular to veca and coplanar with veca and vecb , then it is given by

If veca =hati + hatj, vecb = hati - hatj + hatk and vecc is a unit vector bot to the vector veca and coplanar with veca and vecb , then a unit vector vecd is perpendicular to both veca and vecc is: