Multiplication Of Vectors - Practice Questions & MCQ

1. If a vector is multiplied by any scalar

 (n=1,2,3..) 

Vector Scalar Vector

We get again a vector.

2. If a vector is multiplied by any real number (eg 2 or -2)  then again, we get a vector quantity.

    E.g.

• If is multiplied by 2 then direction of the resultant vector is the same as that of the given vector.

•  If is multiplied by (-2), then the direction of resultant is opposite to that of given vector.

3. Scalar  or Dot or Inner Product

• Scalar product of two vector & written as  

• is a scalar quantity given by the product of magnitude of & and the cosine of smaller angle between them.

       Figure showing representation of scalar products of vectors.

4. Vector or cross product

• Vector or cross product of two vector & written as

• is a single vector whose magnitude is equal to product of magnitude of & and the sine of smaller angle  between them.

• 

     Figure shows representation of  cross product of vectors.