- Demonstrate the ability to find the magnitude of a vector
- Demonstrate the ability to find the direction angle of a vector
- Demonstrate the ability to write a vector in component form
#1:
Instructions: Find the magnitude and direction angle.
$$a)\hspace{.1em}\overrightarrow{v}=\langle 24, 32 \rangle$$
$$b)\hspace{.1em}\overrightarrow{p}=\langle 32, -1 \rangle$$
Watch the Step by Step Video Solution View the Written Solution
#2:
Instructions: Find the magnitude and direction angle.
$$a)\hspace{.1em}\overrightarrow{k}=\langle 42, 44 \rangle$$
$$b)\hspace{.1em}\overrightarrow{CD}$$ $$C=(-8, 6)$$ $$D=(-4, -5)$$
Watch the Step by Step Video Solution View the Written Solution
#3:
Instructions: Find the magnitude and direction angle.
$$a)\hspace{.1em}\overrightarrow{PQ}$$ $$P=(1, 8)$$ $$Q=(8, -7)$$
$$b)\hspace{.1em}\overrightarrow{PQ}$$ $$P=(-3, 9)$$ $$Q=(2, 10)$$
Watch the Step by Step Video Solution View the Written Solution
#4:
Instructions: Write each vector in component form.
$$a)\hspace{.1em}\left| \overrightarrow{m}\right|=50, θ=342°$$
$$b)\hspace{.1em}\left| \overrightarrow{a}\right|=61, θ=120°$$
Watch the Step by Step Video Solution View the Written Solution
#5:
Instructions: Write each vector in component form.
$$a)\hspace{.1em}\left| \overrightarrow{n}\right|=66, θ=45°$$
$$b)\hspace{.1em}\left| \overrightarrow{m}\right|=78, θ=330°$$
Watch the Step by Step Video Solution View the Written Solution
Written Solutions:
#1:
Solutions:
$$a)\hspace{.1em}\left| \overrightarrow{v}\right|=40, θ ≈ 53.13°$$
$$b)\hspace{.1em}\left| \overrightarrow{p}\right|=5\sqrt{41}, θ ≈ 358.21°$$
Watch the Step by Step Video Solution
#2:
Solutions:
$$a)\hspace{.1em}\left| \overrightarrow{k}\right|=10 \sqrt{37}, θ ≈ 46.33°$$
$$b)\hspace{.1em}\left| \overrightarrow{CD}\right|=\sqrt{137}, θ ≈ 289.98°$$
Watch the Step by Step Video Solution
#3:
Solutions:
$$a)\hspace{.1em}\left| \overrightarrow{PQ}\right|=\sqrt{274}, θ ≈ 295.02°$$
$$b)\hspace{.1em}\left| \overrightarrow{PQ}\right|=\sqrt{26}, θ ≈ 11.31°$$
Watch the Step by Step Video Solution
#4:
Solutions:
$$a)\hspace{.1em}\overrightarrow{m}=\langle 47.55, -15.45 \rangle$$
$$b)\hspace{.1em}\overrightarrow{a}=\left\langle - \frac{61}{2}, \frac{61\sqrt{3}}{2}\right\rangle$$
Watch the Step by Step Video Solution
#5:
Solutions:
$$a)\hspace{.1em}\overrightarrow{n}=\langle 33 \sqrt{2}, 33 \sqrt{2}\rangle$$
$$b)\hspace{.1em}\overrightarrow{m}=\langle 39 \sqrt{3}, -39 \rangle$$
