Q7 of 60 Page 27

Can you add two vectors representing physical quantities having different dimensions? Can you multiply two vectors representing physical quantities having different dimensions?

Two vectors representing physical quantities having different dimensions cannot be added nor subtracted, in order to add them they should be of dimension. For example, we can’t add Force and Velocity although they are vectors and represent physical quantities. But we can multiply two vectors having different dimensions, it is either done through dot product or cross product.


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5

Can we have physical quantities having magnitude and direction which are not vectors?

 6

Which of the following two statements is more appropriate?

(a) Two forces are added using triangle rule because force is a vector quantity.


(b) Force is a vector quantity because two forces are added using triangle rule.


 8

Can a vector have zero component along a line and still have nonzero magnitude?

 9

Let ε1 and ε2 be the angles made by and - with the positive X-axis. Show that Thus, giving tan ε does not uniquely determine the direction of