A vector in the x-y plane has a length of 4.4 m and a y-component of -2.9 m. Wha

Question

A vector in the x-y plane has a length of 4.4 m and a y-component of -2.9 m. What angle does this vector make with the x-axis? (The angles should be positive as measured counterclockwise from the +x-axis. Enter your answers from smallest to largest.) degree degree Why does this problem have two answers? Because the x-component can be either positive or negative. Because the vector is perpendicular to the x-axis. Because the y-component can be either positive or negative. Because the vector is perpendicular to the y-axis.

Explanation / Answer

Give magnitude of the vector r =44m and

the angle with the horizontal axis is theta = 33 degrees

x - component of the vector is = r cos theta

= (44) (cos 33)

= (44) (0.8386)

= 36.8984 N

and the y -component of the vector is = r sin theta

= (44) (sin 33)

= 44(0.5446)

=23.9624 N

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