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Vectors A and B are at right angles. Determine the magnitude and the direction of the restaurant relative to vector A. A=34, 8, B= 17.3The resultant magnitude, R,

Vectors A And B Are At Right Angles Determine The Magnitude And The Direction Of The Restaurant Relative To Vector A A34 8 B 173The Resultant Magnitude R class=

Sagot :

Answer: R = 38.7

Explanation:

The diagram of the vectors is shown below

To find the resultant, R, we would apply the pythagorean theorem which states that

hypotenuse^2 = one leg^2 + other leg^2

From the diagram,

hypotenuse = R

One leg = 17.3

other leg = 34.8

Thus,

R^2 = 17.3^2 + 34.8^2 = 299.28 + 1211.04 = 1501.32

R = √1501.32

R = 38.7

To find the direction, we would find θ by applying the tangent trigonometric ratio which is expressed as

tanθ = opposite side/adjacent side

adjacent = 17.3

opposite side = 34.8

tan θ = 34.8/17.3 = 2.01156

Taking the tan inverse of 2.01156,

θ = tan^-1(2.01156)

θ = 63.6

The direction is 63.6 degrees

View image VivianiU405015
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