Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Vector V 1 is 6.9 units long and points along the negative x axis. Vector V 2 is

ID: 1405914 • Letter: V

Question

Vector V 1 is 6.9 units long and points along the negative x axis. Vector V 2 is 8.4 units long and points at 35 to the positive x axis.

What are the x and y components of vector V 1?

Express your answers using two significant figures. Enter your answers numerically separated by a comma.

What are the x and y components of vector V 2?

Express your answers using two significant figures. Enter your answers numerically separated by a comma.

Determine the magnitude of the sum V 1+V 2.

Express your answer using two significant figures.

Determine the angle of the sum V 1+V 2.

Express your answer using two significant figures.

Explanation / Answer

Here ,

for the vector V1

x - component of V1 = -6.9

y - component of V1 = 0

----------------------------------

for the vector V2

x - component of V2 = 8.4 * cos(35)

x - component of V2 = 6.88

y - component of V2 = 8.4 * sin(35)

y - component of V2 = 4.818

-------------------------------

for the sum

sum = V1 + V2

sum = -6.9 i + 6.88 i + 4.818 j

sum = 4.818 j

the magnitude of sum is 4.818 m

-------------------------------

as sum is in y direction

angle of sum is 90 degree