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Homework Statement
I have two questions.
1. For the three vectors shown in this diagram: http://gyazo.com/9a23c78c8a52db6dde1ca52aee9cd2f0
The relationship ##\vec{A} + \vec{B} + \vec{C} = 1\hat{j}## holds. Write ##\vec{B}## in component form and then write ##\vec{B}## as a magnitude and direction.
2. The following figure shows two vectors ##\vec{A}## and ##\vec{B}##: http://gyazo.com/750754b5c6589491df5f22788e9b3281
Find a vector ##\vec{C}## such that ##\vec{A} + \vec{B} + \vec{C} = 0## and use component form to do so.
Homework Equations
##\vec{A} = \vec{A}_x + \vec{A}_y + \vec{A}_z = A_x \hat{i} + A_y \hat{j} + A_z \hat{k}##
The Attempt at a Solution
My work for part 1 and part 2 are displayed below:
Part 1: http://gyazo.com/9b03c43d7bbc1cb69ded51b9b0637b77
Part 2: http://gyazo.com/6fe9e06cfb189cd8ce6ab1c24811deec
Hopefully I've done these properly. If someone could help me verify it would be much appreciated.
Thanks in advance.