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

Question

Often a vector is specified by a magnitude and a direction; for example, a rope with tension T_vec exerts a force of magnitude T in a direction 35^circ north 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 B_vec with length b = 1.00 and angle eta=15.0^{circ} with respect to the x axis as shown.

Find the components of the vector C_vec with length c = 1.00 and angle phi = 25.0^{circ} as shown.

Explanation / Answer

x component is equal to Tcos

y component is equal to Tsin

B Vector is 1.00 and 15 degree with respect to x axis

By=1*sin(15)= 0.26

Bx=1*cos(15)= 0.97

C vector is 1.00 and angle of 25 degree

Cy=1*sin(25)= 0.42

Cx=1*cos(25)= 0.90

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

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