Vectors abs sum diff

The vectors a = (4,2), b = (- 2,1) are given.
Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|.

Correct answer:

a1 =  3.6056
a2 =  6.7082
a3 =  6.0828
a4 =  2.2361

Step-by-step explanation:

a=(4,2) b=(2,1)  cx=ax+bx=4+(2)=2 cy=ay+by=2+1=3  a1=c=cx2+cy2=22+32=13=3.6056
a0=ax2+ay2=42+22=2 54.4721 b0=bx2+by2=(2)2+12=52.2361  a2=a0+b0=4.4721+2.2361=3 5=6.7082
dx=axbx=4(2)=6 dy=ayby=21=1  a3=d=dx2+dy2=62+12=37=6.0828
a4=a0b0=4.47212.2361=5=2.2361



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Our vector sum calculator can add two vectors given by their magnitudes and by included angle.
See also our right triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: