Product of Two Vectors

The scalar and vector products of two vectors are 48sqrt(3) and 144 respectively. What is angle between the two vectors?

Find the scalar and vector products of two vectors veca=(2hati-3hatj+4hatk) and vecb(hati-2hatj+3hatk) .

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)=(3hat(i)-4hat(j)+5hat(k)) "and" vec(B)=(-2hat(i)+hat(j)-3hat(k)) .

Dot product of two vectors overset(rarr)A and overset(rarr)B is defined as overset(rarr)A.overset(rarr)B=aB cos phi , where phi is angle between them when they are drawn with tails coinciding. For any two vectors . This means overset(rarr)A . overset(rarr)B=overset(rarr)B. overset(rarr)A that . The scalar product obeys the commutative law of multiplication, the order of the two vectors does not matter. The vector product of two vectors overset(rarr)A and overset(rarr)B also called the cross product, is denoted by overset(rarr)A xx overset(rarr)B . As the name suggests, the vector product is itself a vector. overset(rarr)C=overset(rarr)A xx overset(rarr)B then C=AB sin theta , A force overset(rarr)F=3hat i +c hat j + 2 hatk acting on a particle causes a displacement d=4hat i- 2 hat j + 3 hat k . If the work done (dot product of force and displacement) is 6J then the value of c is :

The modulus of the vector product of two vector is (1)/(sqrt(3) times their scalar product . The angle between vectors is

The magnitude of scalar and vector products of two vector are 48 sqrt(3) and 144 respectively. What is the angle between the two vectors ?

Explain the dot product and cross product of unit vectors.

The angle between two vectors vec(u) and vec(v) is 60^(@) .Find (i) the scalar product of the two vectors and (ii) the vector product of the two vectors , if vec(u) =7 units , vec (v) = 14 units ?

Two vectors have magnitudes 2 m and 3m. The angle between them is 60^0 . Find a the scalar product of the two vectors b. the magnitude of their vector product.