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.