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Let
u=(:5,-12:) and
c=-3. What is
||cu|| ?
a)51

b)-39
c)21
d)39

Let $u=(5,-12)$ and $c=-3$ . What is $||cu||$ ? $\newline$ a) $51$ $\newline$ b) $-39$ $\newline$ c) $21$ $\newline$ d) $39$

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Evaluate expression when a complex numbers and a variable term is given

Full solution

Q. Let

u=(5,-12)

and

c=-3

. What is

||cu||

?

\newline

a)

51

\newline

b)

-39

\newline

c)

21

\newline

d)

39

Calculate cu by multiplication: Calculate the vector $cu$ by multiplying each component of $u$ by $c$ . $u = (5, -12)$ $c = -3$ $cu = (-3 \times 5, -3 \times (-12))$ $cu = (-15, 36)$
Find magnitude of cu: Find the magnitude of the vector $cu$ . $\newline$ Magnitude formula: $||v|| = \sqrt{x^2 + y^2}$ where $v = (x, y)$ $\newline$ cu = ( $-15$ , $36$ ) $\newline$ $||cu|| = \sqrt{(-15)^2 + 36^2}$ $\newline$ $||cu|| = \sqrt{225 + 1296}$ $\newline$ $||cu|| = \sqrt{1521}$ $\newline$ ||cu|| = \(39

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