. Often a vector is specified by a magnitude and a direction; for example, a rop

Question

.

Often a vector is specified by a magnitude and a direction; for example, a rope with tension T  exerts a force of magnitude T=20N in a direction =35north of east. This is a good way to think of vectors; however, to calculate results with vectors, it is best to select a coordinate system and manipulate the components of the vectors in that coordinate system.

Find the components of the vector A  with length a = 1.00 and angle =20.0 with respect to the x axis as shown in (Figure 1) .

Enter numerically, separated by a comma, the x component followed by the ycomponent.

Explanation / Answer

X component of vector A is:

Ax = a cos(20) = 1cos(20) = 0.9397

and Y component of vector B is:

Ay = a sin(20) = 1sin(20) = 0.3420

Therefore, A = (Ax, Ay) = (0.9397, 0.3420).

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

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