In the sum A+B =C ,vector A has a magnitude of 13.5 m and is angled 38.0° counterclockwise from the +x direction, and vector C has a magnitude of 14.0 m and is angled 13.4° counterclockwise from the -x direction.
What are (a) the magnitude and (b) the angle (relative to +x) of B? State your angle as a positive number.
2007-09-18 13:48:31 · 1 answers · asked by Anonymous in Science & Mathematics ➔ Physics
This is a systematic way and you may easily manager it in the future. First, write the given vectors in its x and y components:
A = (13.5 cos38.0°)i + (13.5 sin38.0°)j
C = - (14.0 cos13.4°)i - (14.0 sin13.4°)j
Hence B = C - A
= - (14.0 cos13.4° + 13.5 cos38.0°)i - (14.0 sin13.4° + 13.5 sin38.0°)j
Its magnitude and direction can be easily calculated with Pythagorean theorem and analysis of a right triangle. Please help yourself.
2007-09-19 06:46:13 · answer #1 · answered by Hahaha 7 · 0⤊ 0⤋