# 1. I have vector A = 700 grams at 15 degrees north of east; what is A's component in the East Direction?

(Answer with three significant figures.

7. I have vector A = 700 grams at 15 degrees north of east; what is A's component in the North direction?

1. 700 cos 15 = 676.1
7. 700 sin 15 = 181.2

## To calculate the component of vector A in the East direction, you can use the cosine function. Given that the magnitude of vector A is 700 grams and the angle of vector A is 15 degrees north of east, you can use the cosine of the angle to find the component in the East direction:

Component in East direction = Magnitude of A * cosine(angle)

Plugging in the values:

Component in East direction = 700 grams * cos(15 degrees) ≈ 676.1 grams

So, the component of vector A in the East direction is approximately 676.1 grams.

Similarly, to calculate the component of vector A in the North direction, you can use the sine function. Given the magnitude of vector A is still 700 grams and the angle is 15 degrees north of east, you can use the sine of the angle to find the component in the North direction:

Component in North direction = Magnitude of A * sine(angle)

Plugging in the values:

Component in North direction = 700 grams * sin(15 degrees) ≈ 181.2 grams

So, the component of vector A in the North direction is approximately 181.2 grams.