Given Hint: Split A and B into x and y components. The components of C then are

Question

Given Hint:

Split A and B into x and y components. The components of C then are

Cx = Ax + 2Bx and Cy = Ay + 2By.

Recombine the components of C to find the magnitude.

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Given Hint:

Split A and B into x and y components. The components of C then are

Cx = 2Ax + Bx and Cy = 2Ay + By.

Draw the resultant vector and make it be the hypotenuse of a right-angled triangle. Use an inverse trig. function to find an angle, then map into the correct quadrant.

Split A and B into x and y components. The components of C then are

Cx = Ax + 2Bx and Cy = Ay + 2By.

Recombine the components of C to find the magnitude.

vector magnitude Two position vectors A and B lie in the xy-plane, as shown. The magnitude of the first vector is A 17 m and the magnitude of the second vector is B- 23 m. 80° 25 B Question 4 (1 point) Find the magnitude of the sum vector C A +2B. nb: Bolding used in place of vector symbols. O A) 38 m O B) 12 m O C) 66m OD) 40.0 m O E) 19.2m

Explanation / Answer

4) Writing in vector form(consider x axis towards right and y axis towards up)
A = -17sin(10) i^ + 17 cos(10) j^ = -2.95m i^ + 16.74 m j^
B = 20.85m i^ - 9.72 m j^
C = A + 2B = 38.75 m i^ -2.7m j^
magnitude of C = 38.84 m
5) C = 2A + B
C = 14.95 m i^+ 23.76 m j^
angle of C = 58 degree.

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