Intro to Vectors (Basic Trigonon, er?actionsactivityBranding&COURSEID 2832& SECT

Question

Intro to Vectors (Basic Trigonon, er?actionsactivityBranding&COURSEID 2832& SECTIONID-126177 2 Vectors HW: Question 2, Part 2 Your diagram for Vectors HW Question 2, Part 1 should have looked like this North Eist Please answer the following question(s): Suppose you first walk A 12 m in a direction 20 west of north and then B 20 m in a direction 40° south of west. Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. (b) Find the components of A and B along the E and N directions. A, (c) Find the components of resultant R A+B along the E and N directions 2 m

Explanation / Answer

Suppose given that Vector is V and it makes angle T with +x-axis, then it's components are given by:

Vx = V*cos T

Vy = V*sin T

Using above rule:

A = 12 m, direction 20 deg W of N

A = 12 m, direction 70 deg N of W (2nd quadrant, So x -ve and y +ve)

Ax = -12*cos 70 deg = -4.10 m

Ay = 12*sin 70 deg = 11.28 m

B = 20 m, direction 40 deg S of W (3rdquadrant so x and y both -ve)

Bx = -20*cos 40 deg = -15.32 m

By = -20*sin 40 deg = -12.85 m

Now

R = A + B

R = (Ax + Bx) i + (Ay + By) j

R = (-4.10 - 15.32) i + (11.28 - 12.85) j

R = -19.42 i - 1.57 j

So, Rx = -19.42 m

Ry = -1.57 m

Please Upvote.

If you need magnitude and direction of R then let me know in comments

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

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