Vector V 1 is 6.8 units long and points along the negative x axis. Vector V 2 is

ID: 1591337 • Letter: V

Question

Vector V 1 is 6.8 units long and points along the negative x axis. Vector V 2 is 8.3 units long and points at 40 to the positive x axis.

Part A

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.

Part B

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.

Part C

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.

here,

V1 = - 6.8 i units

V2 = 8.3 * ( cos(40) i + sin(40) j)

V2 = 6.36 i units + 5.34 j units

x component of V1 , v1x = - 6.8 units

y component of v1y = 0 units

x component of v2 , v2x = 6.36 V

y component of v2 , v2y = 5.34 V

V = V1 + V2

V = - 0.44 i + 5.34 j

|V| = sqrt( 0.44^2 + 5.34^2)

|V| = 5.36 units

the magnitude of the sum is 5.36 units

angle , theta = arctan( 5.34/0.44)

theta = 85.29 degree

the angle of sum is 94.71 degree counter clockwise from the +ve x axis

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