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A

Anonymous

Jan 23, 2025

Express C⃗ in the form Cx, Cy where the x and y components are separated by a comma.?

The figure shows vectors A and B. Find vector C such that A + B + C = 0. Express vector C in the form Cx, Cy, where the x and y components are separated by a comma.

2 Answers

B
Beau Eichmann

Feb 18, 2025

If

Vec_A + Vec_B + Vec_C = 0

Vec_C = – (Vec_A + Vec_B)

then

Cx = – (Ax + Bx) = – (|A| cos40° – |B| cos10°) = – (4*cos40° – 2*cos10°) = – 1.094 m

Cy = – (Ay + By) = – (|A| sin40° + |B| sin10°) = – 2.918 m

A
Anonymous

Feb 22, 2025

so this answer in i-hat/j-hat form would be:

-1.094(i-hat)-2.918(j-hat)

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