If `bar a =4 bar i+6 bar jand barb=3 bar j+4bar k`,then the vector form of the component of a along b is

If bar(a)=2bar(i)+bar(j)+2bar(k),bar(b)=5bar(i)-3bar(j)+bar(k), then the length of the component vector of b perpendicular to a is

If bar(a)=bar(i)+2bar(j)+2bar(k) and bar(b)=3bar(i)+6bar(j)+2bar(k) then the vector in the direction of bar(a) and having magnitude as abs(bar(b)) is

If bar(a) = bar(i) - bar(j)-bar(k), bar(b) = 2bar(i) - 3bar(j) + bar(k) then find the projection vector of bar(b) on bar(a) and its magnitude.

If bar(a) = bar(i) + bar(j)+bar(k), bar(b) = 2bar(i) + 3bar(j) + bar(k) then find the projection vector of bar(b) on bar(a) and its magnitude.

If bar(a)=bar(i)+bar(j)+bar(k) and bar(b)=2bar(i)-3bar(j)-bar(k) , find the unit vector in the direction of bar(a)+bar(b) .

If the position vectors of A, B are 2bar(i)-9bar(j)-4bar(k), 6bar(i)-3bar(j)+8bar(k) then the unit vector in the direction of vec(AB) is

If bar(a)=bar(i)+bar(j), bar(b)=bar(j)+bar(k), bar(c)=bar(i)+bar(k) , then the unit vector in the opposite direction of bar(a)-2bar(b)+3bar(c) is