Skip to main content
B

Brandyn Moore PhD

Feb 20, 2025

The sum of two vectors has the greatest magnitude when the angle between these two vectors is?

0
Save

8 Answers

A
Abbie Toy

Feb 20, 2025

When you add vectors, anytime there is an angle you have to multiply by some cosine, which always has a value between 0 and 1. So anytime you use trig, your going to reduce your value, usless your result is 1 for the trig portion. cos(0)=1This means that you want no angle difference to get the max magnitude result. so when you add to vectors with a zero degree angle difference your going to get the most out of the result. another way to look at it is to travel the two vectors. if you traveled in any pattern other then a straight line you would be wasting distance, so any corners or "angles" that you turn means that you have traveled a less efficient way to your final destination.... Show More
0
A
Abbie Toy

Feb 20, 2025

of course zero degrees or a factor of 360 degrees that is n*360 , where n=0,1,2.... . that's when the two vectors will work in the same direction & their magnitudes will add up. they have the least magnitude when the two vectors are 180 degrees apart. this is the position in which the two vectors will act contrary to each other hence their magnitudes will be substracted.... Show More
0
A
Abbie Toy

Feb 20, 2025

Zero or 360 degrees or any multiple of 360 degrees.... Show More
0
A
Abbie Toy

Feb 20, 2025

When they act parallel and in the same direction, meaning 0º between each other.... Show More
0

Want to answer this question?

Join our community to share your knowledge!

Log in Sign up

Categories

Tags

Related Questions

2
10
The supreme courts jurisdiction mainly includes

The supreme courts jurisdiction mainly includes

3
4
The system mx+ny=p has the solution (1,3), where rx+sy=t m, n,p, r,s and t are non zero real numbers. which of the following system

The system mx+ny=p has the solution (1,3), where rx+sy=t m, n,p, r,s and t are non zero real numbers. which of the follo...

1
4
The table below shows the total cost of admittance to a basketball game, y, for x students.xy5$2510$5015$7520$100Which

xy5$2510$5015$7520$100Which explains how the table can be used to predict the cost of any number of students attending t...

5
The table below summarizes the traits that mendel examined during his experiments. traits studied by mendel a 3-column table labeled

The table below summarizes the traits that mendel examined during his experiments. traits studied by mendel a 3-column t...

3
The table shows the amount of milk that wisconsin dairy farms produced from 1937 to 1968. which model best fits this data?

The table shows the amount of milk that wisconsin dairy farms produced from 1937 to 1968. which model best fits this dat...

2
The table shows the amount of milk that Wisconsin dairy farms produced from 1940 to 1997

6) The table shows the amount of milk that Wisconsin dairy farms produced from 1940 to 1997. Use a linear model to estim...

2
The table shows the position of a cyclist. Find avg velocity?

t (seconds) 0 1…… 2 …… 3…… 4…… 5 s (meters) 0 (1.5) (4.9) (10.4) (17.4) (24.8) (a) Find the average velocity for each ti...