Unit vector 2D

Determine coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].

Correct result:

x =  -0.99
y =  0.16

Solution:

$\Delta x = -18 +6 = -12 \ \\ \Delta y = 10 -8 = 2 \ \\ \vect{ AB } = (-12; 2) \ \\ |\vect{ AB }| = \sqrt{\Delta x^2+ \Delta y^2 } = 12.17 \ \\ x = \dfrac{\Delta x}{|\vect{ AB }|} = -0.99$
$y = \dfrac{\Delta y}{|\vect{ AB }|} = 0.16$

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Showing 1 comment:
Tza0987
097=134
134=824
824=650
650=?

Tips to related online calculators
For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.
Two vectors given by its magnitudes and by included angle can be added by our vector sum calculator.
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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