[" The orthogonal projection vector of "],[bar(a)=2bar(i)+3bar(j)+3bar(k)" on "bar(b)=bar(i)-2bar(j)+bar(k)" is "]

The orthogonal projection of bar(a)=2bar(i)+3bar(j)+3bar(k) on bar(b)=bar(i)-2bar(j)+bar(k) (where bar(i)*bar(j)*bar(k) are unit vectors along there mutually perpendicular directions is

The orthogonal projection of bar(a)=2i+3j+3k on bar(b)=i-2j+k is

Find the unit vector in the direction of the sum of the vectors bar(a) = 2bar(i)+ 2bar(j) - 5bar(k) and bar(b) = 2bar(i) + bar(j) + 3bar(k) .

Find a unit vector perpendicular to the plane containing the vector bar(a) = 4bar(i) + 3bar(j) - bar(k), bar(b) = 2bar(i) - 6bar(j) - 3bar(k)

Find the value of lambda such that the vectors bar(a)=2bar(i)+lambda bar(j)+bar(k) and bar(b)=bar(i)+2bar(j)+3bar(k) are orthogonal …….

The vectors 2bar(i)-3bar(j)+bar(k), bar(i)-2bar(j)+3bar(k), 3bar(i)+bar(j)-2bar(k)

Find the value of [bar(i)+bar(j)+bar(k),bar(i)-bar(j),bar(i)+2bar(j)-bar(k)] .

The vectors bar(i)+4bar(j)+6bar(k),2bar(i)+4bar(j)+3bar(k) and bar(i)+2bar(j)+3bar(k) form

Prove that vectors bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) -bar(3j)-5bar(k) and bar(c ) = 3bar(i) - 4bar(j) -4bar(k) are coplanar.

Find the vector equation of the angular bisector of angleCAB" of "DeltaABC where position vector of A is 3bar(i)+bar(j)-bar(k) and bar(AB)=bar(i)-2bar(j)+2bar(k), bar(AC)=2bar(i)+bar(j)+2bar(k) .