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 :

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

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

Find the dot product of vectors vec(a)=2hat(i)-3hat(j)+hat(k), vec(b)=-hat(i)+3hat(j)+hat(k)

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).

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).

The sine of the angle between vectors vec(a)=2hat(i)-6hat(j)-3hat(k) and vec(b)=4hat(i)+3hat(j)-hat(k)

Find the sum of the vectors vec(a)=(hat(i)-3hat(k)), vec(b)=(2hat(j)-hat(k)) and vec(c)=(2hat(i)-3hat(j)+2hat(k)) .