# Question 1.7: Adding two vectors Now we’ll use the component method to add...

**Adding two vectors** Now we’ll use the component method to add two vectors. We will use this technique extensively (in Chapter 4) when we begin to consider how forces act upon an object. Vector \overset{\rightarrow }{\pmb{A}} has a magnitude of 50 cm and a direction of 30°, and vector \overset{\rightarrow}{\pmb{B}} has a magnitude of 35 cm and a direction of 110°. Both angles are measured counterclockwise from the positive x axis. Use components to calculate the magnitude and direction of the vector sum (i.e., the resultant) \overset{\rightarrow }{\pmb{R}}= \overset{\rightarrow }{\pmb{A}} + \overset{\rightarrow }{\pmb{B}} .

**"Step-by-Step Explanation"**refers to a detailed and sequential breakdown of the solution or reasoning behind the answer. This comprehensive explanation walks through each step of the answer, offering you clarity and understanding.

Our explanations are based on the best information we have, but they may not always be right or fit every situation.

**blue check mark**means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.

Learn more on how we answer questions.

## Related Answered Questions

Question: 1.3

## Verified Answer:

SET UP We find the needed numbers inside the back ...

Question: 1.4

## Verified Answer:

SET UP AND SOLVE We can guess at both the mass of ...

Question: 1.8

## Verified Answer:

SET UP The situation is shown in Figure 1.21. We h...

Question: 1.6

## Verified Answer:

SET UP First we sketch a diagram showing each disp...

Question: 1.5

## Verified Answer:

SET UP Figure 1.13 is a scale diagram. By careful ...

Question: 1.2

## Verified Answer:

SET UP AND SOLVE We calculate the answer by using ...

Question: 1.1

## Verified Answer:

SET UP We know that 1 km = 1000 m. From Appendix D...