Evaluate :
`[ veci    veci      veci ]`

If points A (60 veci + 3vecj ) , B (40 veci - 8 vec j) and C ( a veci - 52 vecj ) are collinear then a is equal to

Statement 1 : veca = 3 veci + p vecj +3veck and vecb = 2veci + 3vecj + qveck are parallel vectors if p = 9//2 and q =2 . Statement 2 : If veca= a_1 veci + a_2 vecj + a_3 veck and vecb = b_1 veci + b_2 vecj + b_3veck are parallel, then (a_1)/(b_1) = (a_2)/(b_2)= (a_3)/(b_3) .

A unit vector coplanar with veci + vecj + 2veck and veci + 2 vecj + veck and perpendicular to veci + vecj + veck is _______

A unit vector coplanar with veci + vecj + 2veck and veci + 2 vecj + veck and perpendicular to veci + vecj + veck is _______

If veca=3veci-2vecj and vecb=2veci+3vecj , calculate (i) veca+vecb , (ii) veca-vecb , (iii) vecb-veca

For three vectors , vecX, vecY and vecZ, vecZ=vecX+vecY and |vecX|=12, |vecY|=5 and |vecZ|=13 Calculate the angle between vecY and vecZ .

Vectors vecx,vecy,vecz each of magnitude sqrt(2) make angles of 60^0 with each other. If vecx xx(vecyxxvecz)=veca ,vecyxx(veczxxvecx) =vecb and vecx xxvecy=vecc , find vecx, vecy, vecz in terms of veca,vecb and vecc .

If the magnitude of there vectors vec X, vecY and vecZ are 4, 3 and 5, respectively and vecX+vecY=vecZ , then calculate the angle between vecY and vecZ .

Let vecx, vecy and vecz be unit vectors such that vecx+vecy+vecz=veca, vecx xx(vecyxxvecz)=vecb, (vecx xxvecy)xxvecz=vecc, veca.vecx=3/2, veca.vecy=7/4 and \|veca|=2 . Find vecx,vecy,vecz in terms of veca,vecb,vecc.