Question

Find the magnitude of the

Answer 1

17.49 is the magnitude of the resultant vector. This can be obtained by adding the vectors and finding magnitude.

Calculate the magnitude of the resultant vector:

Resultant vector: vector that gives the combined effect of all the vectors. When we add two or more vectors, the outcome is the resultant vector.

For example,

• Sum of vector (3,4) and vector (5,7)

(3,4) + (5,7) = (3+5,4+7) = (8,11)

(8,11) is the resultant vector of vector (3,4) and vector (5,7)

Magnitude of a vector: the length of the vector. The magnitude of the vector a is denoted as ∥a∥.

Magnitude of a = (a₁, a₂)

∥a∥=$\sqrt{a_{1}^{2} +a_{2}^{2} }$

In the given question,

v (8,10) and w (7, -1)

Adding the vectors,

resultant vector = (8,10) + (7, -1) = (15, 9)

Magnitude of a vector (a,b) = √a²+b²

Here, magnitude = √15²+9² = √225+81 = √306 ≈ 17.49

Hence 17.49 is the magnitude of the resultant vector.

Learn more about vectors:

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