Study guide and
2 practice problems
on:
Component view of vector addition
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The sum of two vectors is obtained by summing each of components: $$\langle x_1, x_2\rangle + \langle y_1, y_2\rangle = \langle x_1+y_1, x_2+y_2\rangle.$$
Related topics
Vector addition
(10 problems)
Vectors
(55 problems)
Multivariable calculus
(147 problems)
Practice problems
A river flows with speed $10$ m/s in the northeast direction. A particular boat can propel itself at speed $20$ m/s relative to the water. In which direction should the boat point in order to travel due west.?
Solution
Prove for 2d vectors: $\bfa \cdot (\bfb + \bfc) = \bfa\cdot \bfb + \bfa \cdot \bfc.$
Solution