Consider a vector `vec(F)= 4hat(i)-3hat(j)`. Another vector that is perpendicular to `vec(F)` is

Consider a vector overset(rarr)F=4hat i-3hatj . Another vector that is perpendicular to overset(rarr)F is :

Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors parallel and perpendicular to the vector vec(a) = hat(i) + hat(j) .

If vec(a)=2hat(i)+2 hat(j)+3hat(k), vec(b)=-hat(i)+2hat(j)+hat(k) and vec(c)=3hat(i)+hat(j) are three vectors such that vec(a)+t vec(b) is perpendicular to vec(c) , then what is t equal to ?

If vec(a)=2hat(i)+3hat(j)-hat(k),vec(b)=hat(i)+2hat(j)-5hat(k),vec(c)=3hat(i)+5hat(j)-hat(k), then a vector perpendicular to vec(a) and lies in the plane containing vec(b)andvec(c) is

Statement 1: A component of vector vec b=4hat i+2hat j+3hat k in the direction perpendicular to the direction of vector vec a=hat i+hat j+hat kishat i-hat j .Statement 2:A component of vector in the direction of vec a=hat i+hat j+hat k is 2hat i+2hat j+2hat k

Unit vector parallel to the resultant of vectors vec(A)= 4hat(i)-3hat(j) and vec(B)= 8hat(i)+8hat(j) will be

Unit vector parallel to the resultant of vectors vec(A)= 4hat(i)-3hat(j) and vec(B)= 8hat(i)+8hat(j) will be