Chapter 5, Problem 58A

(a)

To determine

To Find: Sum of the vectors graphically.

Explanation of Solution

Introduction: A vector is quantity which has magnitude as well as direction.

In addition of vectors graphically, the vectors in the same direction are considered as positive and vectors in opposite direction are considered as negative. Here, vector A is in opposite direction to vector C and D. So, the length of resultant vector is as shown in figure below.

  

(b)

To determine

To Find: Sum of the vectors graphically.

Explanation of Solution

Introduction: A vector is quantity which has magnitude as well as direction.

In addition of vectors graphically, the vectors in the same direction are considered as positive and vectors in opposite direction are considered as negative. The resultant vector is drawn from tail of first vectorA and joined to tip of third vector E. Graphically, resultant vector is as shown in figure below:

  

(c)

To determine

To Find: Sum of the vectors graphically.

Explanation of Solution

Introduction: A vector is quantity which has magnitude as well as direction.

In addition of vectors graphically, the vectors in the same direction are considered as positive and vectors in opposite direction are considered as negative. The resultant vector is drawn from tail of first vector B and joined to tip of third vector F. Graphically, resultant vector is as shown in figure.