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 result:

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

Solution:

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



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Pythagorean theorem is the base for the right triangle calculator.

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