Question

Help please i’m tired and i just want to finish this and go to bed

Answer 1

Answer: 112i + 85.8j

Explanation:

Answer 2

`\vec{H}=-32.1\:\hat{i}+79.6\:\hat{j}`

Explanation:

Vectors

• The magnitude of a vector gives the length of the line segment.

• The direction of a vector gives the angle the line forms with the positive x-axis.

To find the components of a vector given its magnitude and direction, use the following formula:

`\large\boxed{\vec{u}=\left(||\vec{u}|| \cos(\theta),|| \vec{u}|| \sin(\theta)\right)}`

where:

• 
  `||\vec{u}||` is the magnitude
• θ is the angle (in degrees)

Given:

• 
  `||\vec{H}||=85.8`

• 
  `\theta=112^(\circ)`

Substitute the given values into the formula:

`\vec{H}=\left(85.8 \cos(112^(\circ)),85.8 \sin(112^(\circ))\right)`

`\vec{H}=\left(-32.1, 79.6\right)`

Therefore:

`\vec{H}=-32.1\:\hat{i}+79.6\:\hat{j}`