Question

If P = 6i^ + 8j^ and Q = 4i - 3j then calculate

Answer 1

Answer:

Explanation:

Hey there,

If you want to calculate the magnitude of | vector P + vector Q | as well as | vector P - vector Q | then the calculation is given below:

Here, It is given that,

P = 6î + 8ĵ

Q = 4i - 3j

=> | vectorP + vector Q | =$\sqrt{(6i+8j)^{2}+(4i - 3j)^{2})}$

= $\sqrt{(6i+4i)^{2}+(8j-3j)^{2})}$

= $\sqrt{(6+4)^{2} (i)^{2}+(8-3)^{2} (j)^{2})}$

= $\sqrt{100 * 1 + 25 * 1}$

=$\sqrt{125}$

=$\sqrt{25 * 5}$

=$5\sqrt{5}$

=> | vectorP - vector Q | = $\sqrt{(6i-8j)^{2}+(4i + 3j)^{2})}$

= $\sqrt{(6i-4i)^{2}+(8j+3j)^{2})}$

= $\sqrt{(6-4)^{2} (i)^{2}+(8+3)^{2} (j)^{2})}$

= $\sqrt{4 * 1 + 121 * 1}$

=$\sqrt{125}$

=$\sqrt{25 * 5}$

=$5\sqrt{5}$