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3 years ago

Find the magnitude and angle of a vector given the components: Bx = 7, By=-5

Physics

1 answer:

Arte-miy333 [17]3 years ago

3 0

Answer:

$|B| = \sqrt{ {B _{x} }^{2} + {B _{y} }^{2} } \\ = \sqrt{ {7}^{2} + {5}^{2} } \\ = \sqrt{74} \\ = 8.6$

$let \: the \: angle \: be \: \theta \\ \tan(\theta) = \frac{B _{y} }{B _{x} } \\ \tan( \theta) = \frac{ - 5}{7} \\ \theta = { \tan }^{ - 1} ( \frac{ - 5}{7} ) \\ = 35.5 \degree$

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3 years ago

The magnitude of vector λa is 5. Find the value of λ, if: a = (−6, 8)

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Given :

$\: \:$

$\color{pink}{\rm \: The \:magnitude \:of \:vector\: λa\: is \: {\bold5\:}}$

$\:$

$\color{green}{\rm \: a = (−6, 8)}$

$\:$

To Find :

$\: \:$

$\orange{ \rm\: value \: of \: \bold{ λ \: }}$

$\: \:$

$\rm \: The \: magnitude \: of \: the \: vector \: a \: is \: ||a|| = \sqrt{(-6)^2+ 8^2)} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm = \sqrt{( 36+64)} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\:\: \: \:\:= \rm\sqrt{100} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\\\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \rm \underline{\boxed{\red{ \: = 10 \: }}} \green✓$

$\: \:$

$\rm \: Therefore, \: λ = \cancel{\frac{5}{10} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline { \: \boxed{ \red{\: \rm = 0.5\:}}}{ \green ✓ }$

Hope helps ~

$\color{purple}\frak{SarcasticSmileeᥫ᭡}$

4 0

2 years ago

Find the magnitude and angle of a vector given the components: Bx = 7, By=-5​

Find the magnitude and angle of a vector given the components: Bx = 7, By=-5