Find the scalar and vector products of two vectors `vec(A)=(3hat(i)-4hat(j)+5hat(k)) "and" vec(B)=(-2hat(i)+hat(j)-3hat(k))`.

Find the scalar and vector products of two vectors vec(a)=(2hat(i)-3hat(j)+4hat(k)) and vec(b)= (hat(i)-2hat(j)+3hat(k)) .

Find the scalar and vector paroducts of two vectors. a=(3hat(i)-4hat(j)+5hat(k)) " and " b=(-2hat (i) +hat(j)-3hat(k))

Find the dot product of two vectors vec(A)=3hat(i)+2hat(j)-4hat(k) and vec(B)=2hat(i)-3hat(j)-6hat(k) .

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

Find a vector perpendicular to vector vec(A)=(hat(i)+2hat(j)-3hat(k)) as well as vec(B)=(hat(i)+hat(j)-hat(k))

The angle between the two Vectors vec(A)= 3hat(i)+4hat(j)+5hat(k) and vec(B)= 3hat(i)+4hat(j)-5hat(k) will be

a. Prove that the vector vec(A)=3hat(i)-2hat(j)+hat(k) , vec(B)=hat(i)-3hat(j)+5hat(k), and vec(C )=2hat(i)+hat(j)-4hat(k) from a right -angled triangle. b. Determine the unit vector parallel to the cross product of vector vec(A)=3hat(i)-5hat(j)+10hat(k) & =vec(B)=6hat(i)+5hat(j)+2hat(k).

If vec(A) and vec(B) are perpendicular Vectors and vector vec(A)= 5hat(i)+7hat(j)-3hat(k) and vec(B)= 2hat(i)+2hat(j)-ahat(k) . The value of a is

The unit vactor parallel to the resultant of the vectors vec(A)=4hat(i)+3hat(j)+6hat(k) and vec(B)=-hat(i)+3hat(j)-8hat(k) is :-

A unit vector in the dirction of resultant vector of vec(A)= -2hat(i)+3hat(j)+hat(k) and vec(B)= hat(i)+2hat(j)-4hat(k) is