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 θ=35∘ 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.

Part A) Often a vector is specified by a magnitude and a direction; for example, a rope with tension T⃗ exerts a force of magnitude T=20N in a direction θ=35∘ 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.

Part B) Find the components of the vector B⃗ with length b = 1.00 and angle β=20.0∘ with respect to the x axis as shown in (Figure 1).

Part C) Find the components of the vector C⃗ with length cc = 1.00 and angle ϕ= 35.0∘ as shown in (Figure 1).

 

Figure length = b B length = c B length=aA a 1 of 1 -X