Here are two vectors: a = (4.0 m) - (2.0 m) and b = (3.0 m) + (5.0 m). (a) Find

Question

Here are two vectors:
a = (4.0 m) - (2.0 m) and b = (3.0 m) + (5.0 m).
(a) Find the magnitude of a.
_______ m
Find the direction of a.
__________°

(b) Find the magnitude of b.
_________ m
Find the direction of b.
___________°

(c) Find the magnitude of a + b.
__________ m
Find the direction of a + b.
__________°

(d) Find the magnitude of b - a.
________ m
Find the direction of b - a.
___________°

(e) Find the magnitude of a - b.
__________ m
Find the direction of a - b.
_________°
How do the orientations of the last two (d and e) compare?

The angle between the two vectors is 0°.
The angle between the two vectors is 60°.
The angle between the two vectors is 30°.
The angle between the two vectors is 90°.
The angle between the two vectors is 45°.
The angle between the two vectors is 180°.
.

Explanation / Answer

magnitude of vectors is sqrt(x^2+y^2) squaring x and y will obviously drop negative signs. finding direction of vectors is as simple as tan^-1(yx) always draw the vector to determine if the angle you get is in the correct quadrant. as for a+b you need a resultant vector table which is just adding both the x and y components to produce a new vector known as the resultant vector then perform the same two steps above to fine mag and direction. (be mindful of negatives when adding vectors) if you need more help just ask

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.