Find the magnitude of vector v with initial point (7, 5) and terminal point (-3, -5).
A) $10 \sqrt { 2 }$
B) 14
C) $20 \sqrt { 2 }$
D) $\sqrt { 74 }$
E) $2 \sqrt { 51 }$

Question

Find the magnitude of vector v with initial point (7, 5) and terminal point (-3, -5).  
A)  $10 \sqrt { 2 }$
B) 14
C)  $20 \sqrt { 2 }$
D)  $\sqrt { 74 }$
E)  $2 \sqrt { 51 }$

Quizplus · Accepted Answer

The magnitude of a vector is the square root of the sum of the squares of its components. In this case, the components of the vector are $v_x = -3 - 7 = -10$ and $v_y = -5 - 5 = -10$. Therefore, the magnitude of the vector is $\sqrt{(-10)^2 + (-10)^2} = \sqrt{200} = 10 \sqrt{2}$.

Find the Magnitude of Vector V with Initial Point (7 10210 \sqrt { 2 }102​

Find the Magnitude of Vector V with Initial Point (7 $10 \sqrt { 2 }$