Question

A vector has a magnitude of 6 m and a direction of 0⁰. A vector v has a magnitude of 4.5 m and direction of 80⁰. Draw the vectors using the scale of 1 m=1 cm. Find the direction, magnitude of u + v and draw the vector ​ .

Answer 1

To find the magnitude of u + v, we add the lengths of the vectors. The magnitude of u + v is 10.5 cm.

Step-by-step explanation:

To draw the vectors to scale, we can assume a scale of 1 cm on paper represents 1 m in the problem. Based on this scale, the vector with a magnitude of 6 m would be represented by a vector of length 6 cm, and the vector with a magnitude of 4.5 m would be represented by a vector of length 4.5 cm.

To find the magnitude of u + v, we can add the lengths of the two vectors. The magnitude of u + v would be 6 cm + 4.5 cm = 10.5 cm.

To draw the vector u + v, we can draw a vector of length 10.5 cm in the same direction as vector u.