If `|2hati+3hatj+zhatk|=5` then `z=`

If (x,y,z) ne (0,0,0) and (hati + hatj +3hatk )x + (3 hati - 3 hatj + hatk )y +(-4 hati + 5 hatj ) z = a (x hati + y hatj + z hatk ), then the values of a are

If (x,y,z) ne (0,0,0) and (hati + hatj +3hatk )x + (3 hati - 3 hatj + hatk )y +(-4 hati + 5 hatj ) z = a (x hati + y hatj + z hatk ), then the values of a are

If veca=xhati + y hatj + zhatk, vecb= yhati + zhatj + xhatk and vecc= zhati + xhatj+ yhatk , " then " vecaxx (vecbxx vecc) is (a)parallel to ( y- z) hati + (z - x) hatj + (x -y) hatk (b)orthogonal to hati + hatj + hatk (c)orthogonal to ( y+z) hati + ( z + x) hatj + ( x + y) hatk (d)orthogonal to xhati + yhatj + zhatk

If veca=xhati + y hatj + zhatk, vecb= yhati + zhatj + xhatk and vecc= zhati + xhatj+ yhatk , " then " vecaxx (vecbxx vecc) is (a)parallel to ( y- z) hati + (z - x) hatj + (x -y) hatk (b)orthogonal to hati + hatj + hatk (c)orthogonal to ( y+z) hati + ( z + x) hatj + ( x + y) hatk (d)orthogonal to xhati + yhatj + zhatk

If bara = 2hati + 3hatj - hatk, barb = hati + 2hatj - 5hatj, barc = 3hati + 5hatj - hatk , then a vector perpendicular to bara and lies in the plane containing barb and barc is………….

If vectors 2hati - 3hatj-5hatk and 2hati-3 hatj-ahatk are equal vectors, then the value of a is

If veca=2hati+3hatj-5hatk and vecb=hati+hatj-hatk , then veca*vecb is :

If veca = xhati +2 hatj-zhatk and vecb = 3hati -y hatj+hatk are two equal vecots then find the value of x+y+z

If veca=xhati+2hatj-zhatk and vecb=3hati-yhatj+hatk are two equal vectors then write the value of x+y+z.