Question

The components of a vector V¯ can be written (Vx , Vy , Vz). What is the length of a vector which is the sum of the two vectors V1¯ and V2¯ whose components are (8.0, -3.7, 0.0) and (3.9, -8.1, -4.4)?

Answer 1

Answer:

$\overrightarrow{V_{2}}=\left ( 3.9, -8.1, -4.4 \right )$

$V_{2} = \sqrt{3.9^{2}+(-8.1)^{2}+ (-4.4)^{2}}=10.00$

Explanation:

A vector V is given in the component form

$\overrightarrow{V}=\left ( V_{x}, V_{y}, V{_{z}} \right )$

The length of vector v is given by

$V = \sqrt{V_{x}^{2}+V_{y}^{2}+ V_{z}^{2}}$

Here vector

$\overrightarrow{V_{1}}=\left ( 8,-3.7,0 \right )$

The length of this vector is given by

$V_{1} = \sqrt{8^{2}+(-3.7)^{2}+ 0^{2}}=8.814$

The another vector is

$\overrightarrow{V_{2}}=\left ( 3.9, -8.1, -4.4 \right )$

The length of this vector is given by

$V_{2} = \sqrt{3.9^{2}+(-8.1)^{2}+ (-4.4)^{2}}=10.00$