Question

10. Consider the following vectors: wis-32-59, =7(2-9) and x = 2(32-109) and scalar quantities t = 5 and m If E = m (wit) . x, determine the value of the scalar E and draw all these vectors as ar- rows in the graph below

Answer 1

We are given $\vec{w_{1}}=-3\hat{x}-5\hat{y};$ $\vec{w_{2}}=7\hat{x}-7\hat{y};$ and $\vec{x}=3/2\hat{x}-5\hat{y};$ t=5 and m=5/3.

Now $E=m(\vec{w_{2}}-\vec{w_{1}})*\vec{x}/t.$

$\vec{w_{2}}-\vec{w_{1}}=(7\hat{x}-7\hat{y})-(-3\hat{x}-5\hat{y})=10\hat{x}-2\hat{y}$. Therefore $E=5/3*5(10\hat{x}-2\hat{y}).(3/2\hat{x}-5\hat{y})=1/3(10*3/2+2*5)=25/3.$

Th graph showing these vectors is drawn above.