Let ` vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - hat (k) and vec(c ) = - hat (i) + 3 hat (j) + 2 hat (k) ` be three given vectors .Find
sine of the angle `vec(a) and vec (c ) `

Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - hat (k) and vec(c ) = - hat (i) + 3 hat (j) + 2 hat (k) be three given vectors .Find vec(a) xx vec(b)

Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - hat (k) and vec(c ) = - hat (i) + 3 hat (j) + 2 hat (k) be three given vectors .Find angle between vec(a) and vec(b)

Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - hat (k) and vec(c ) = - hat (i) + 3 hat (j) + 2 hat (k) be three given vectors .Find vec(c ) xx (-vec(a))

Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - hat (k) and vec(c ) = - hat (i) + 3 hat (j) + 2 hat (k) be three given vectors .Find (vec(a) - 2 vec(b)) xx vec(c)

Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - hat (k) and vec(c ) = - hat (i) + 3 hat (j) + 2 hat (k) be three given vectors .Find (vec(a) + vec(b)) xx (vec(b)- vec(c ))

Let vec (a) = 2 hat (i) + hat (k) , vec (b) = hat (i) + hat (j) + hat (k) and vec (c ) = 4 hat (i) - 3 hat (j) + 7 hat (k) be three given vectors . Find a vector vec (c ) which satisfies the relations vec (r ) xx vec ( b ) = vec (c ) xx vec ( b) and vec ( r ) . vec ( a) = 0

Let vec(a) = 2 hat (i) + 2 hat (j) + 2 hat (k) , vec(b)= - hat (i) + 2 hat (j) + hat (k) and vec(c ) = 3 hat(i) + hat(j) be three given vectors , if vec(a) + lambda vec(b) and vec (c ) are perpendicular to each other , find lambda .

Let vec(a) = 2 hat (i) + 2 hat (j) + 3 hat (k) , vec(b) = - hat(i)+ 2 hat(j)+ hat (k) and vec(c) = 3 hat (i) + hat (j) be three given vectors , if vec(a) + lambda vec(b) and vec(c ) are perpendicular to each other , find lambda

If vec (alpha ) = - hat (i) + 2 hat (j) + hat (k) , vec(b) = 3 hat(i) + hat (j) + 2 hat (k) and vec(c ) = 2 hat (i) + hat (j) + 3 hat (k) , find [ vec(c ) vec(a) vec(b)]

If vec(a) = hat (i) +hat (j) , vec (b) = hat(i) - hat(j) and vec(c ) = 5 hat (i) + 2 hat (j) + 3 hat(k) , find the value of [ vec(b)vec (c ) vec(a)]