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Let a=(-7,3) and b=(-2,-12), and c=a+b. What is the magnitude and direction angle of c?

A. |c|=18; theta=135°
B. |c|=18; theta=225°
C. |c|=9sqrt2; theta=135°
D. |c|=9sqrt2; theta=225°

Answer :

Answer:

D is correct

Step-by-step explanation:

I got it right on my edge math unit test review.

ashishdwivedilVT

The value of |c| = 9√2 and θ = 225⁰

What is Magnitude?

The magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind.

Here, given values;

a = (-7, 3)  and b = (-2, -12)

Now, c = a + b

        c = (-7, 3) + (-2, -12)

        c = (-9, -9)

Now, |c| = √(9²+9²)

         |c| = 9√2

Now, tan θ = |y/x|

        tan θ = |-9/-9|

       tan θ = 1

       tan θ = tan 225⁰

         θ = 225⁰

Thus, the value of |c| = 9√2 and θ = 225⁰

Learn more about Magnitude from:

https://brainly.com/question/15681399

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