## Vectors A, B, C and D have the following components: X components (A, B, C and D respectively): +2.5 units, +6.1 units, -3.6 units and

Question

Vectors A, B, C and D have the following components:
X components (A, B, C and D respectively): +2.5 units, +6.1 units, -3.6 units and -1.5 units
Y components (A, B, C and D respectively): +4.3 units, -2.1 units, +1.0 units and -7.3 units

The magnitude of the resultant is:________

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6 months 2021-07-27T10:54:19+00:00 1 Answers 4 views 0

## Answers ( )

1. Answer:

The magnitude of the resultant is approximately 5.391 units.

Explanation:

We notice that vectors have the following characteristics: A magnitude and direction. That is:

Where:

– Magnitude, dimensionless.

– Direction, measured in radians.

This expression can be rearranged as:

Where:

If we know a set of vectors of the form , the resultant vector () is the vectorial sum of every vector in the set:

If we know that , , and , the resultant vector is:

And lastly, we obtain the magnitude of the resultant by Pythagoras’ Theorem:

The magnitude of the resultant is approximately 5.391 units.