Question

Three vectors, one of 74 km at 30°, the second of 54 km at 135°, and the final of 62 km due South. What is the sum of the three vectors?
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Answer 1

Answer:

The sum of the three vectors are 63.18 km.

Explanation:

Given that,

One vector = 74 km at 30°

Second vector = 54 km at 135°

Third vector = 62 km

We need to calculate the sum of the three vectors

Using given data

$R=\vec{A}\sin\theta+\vec{B}\sin\theta+\vec{C}$

Put the value into the formula

$R=-74\sin30+54\sin135+62$

$R=63.18\ km$

Hence, The sum of the three vectors are 63.18 km.