Avector has an x-component of 19.5m and a y-component of 28.4m. find the magnitude and direction of the vector

magnitude=34.45 m

direction=

Explanation:

Assuming the initial point P1 of this vector is at the origin:

P1=(X1,Y1)=(0,0)

And knowing the other point is P2=(X2,Y2)=(19.5,28.4)

We can find the magnitude and direction of this vector, taking into account a vector has a initial and a final point, with an x-component and a y-component.

For the magnitude we will use the formula to calculate the distance between two points:

(1)

(2)

(3)

(4) This is the magnitude of the vector

For the direction, which is the measure of the angle the vector makes with a horizontal line, we will use the following formula:

 (5)

 (6)

 (7)

Finding :

 (8)

 (9) This is the direction of the vector

no

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