Question

In a right angled triangle labelled ABC and C is 90degreea, which vector represents the resultant of the other two?

Answer 1

Answer on Question #53393 - Math - Vector Calculus

In a right-angled triangle labelled ABC and C is 90 degree, which vector represents the resultant of the other two?

Solution

If vectors are directed as shown above, then the resultant vector of vectors $\overrightarrow{AC}$ and $\overrightarrow{CB}$ will be vector $\overrightarrow{AB}$ , which represents the sum of these two.

The sum of vectors $\overrightarrow{AC}$ and $\overrightarrow{AB}$ is given by the vector $\overrightarrow{AA'}$ , which is shown in the figure below.

Other cases are similar to the two ones described above.

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