Q 31. - Calculus

Question

Find $\overrightarrow{PQ}$

$P=\left(1,-2, 5\right) ,Q=\left(1,-7, -2\right)$

Step-by-Step Solution

Answer

The required value of $\overrightarrow{PQ}=\left(0,-5,-7\right)$.

Step 1. Given information

$P=\left(1,-2, 5\right) and Q=\left(1,-7,-2\right)$.

Step 2. Find the values of P Q →

$$\begin{gathered} \overrightarrow{PQ}=\left(x_2-x_1,y_2-y_1,z_2-z_1\right) \\ =\left(1-1,-7-\left(-2\right),-2-5\right) \\ =\left(0,-5,-7\right) \end{gathered}$$