Magnitude & Direction of V Vector

In summary, the V vector is a mathematical representation of an object's speed and direction of motion. The magnitude of a V vector is the length of the vector, which can be calculated using the Pythagorean theorem. The direction of a V vector is represented by an angle measured counterclockwise from the positive x-axis, and can be represented using different notation systems. It is important to specify both the magnitude and direction of a V vector to fully describe an object's motion.
  • #1
future_vet
169
0

Homework Statement


If Vx = 6.80 units and vy = -7.40 units, determine the magnitude and direction of V-> (vector, the arrow is above the V).

Homework Equations

and

The Attempt at a Solution


Should we use the following:
V magnitude = √ ( Vx^2 + Vy ^2) = √ (6.80^2 + (-7.40)^2) = 10 units
and for the direction: tan θ = Vy/Vx = (-7.40)/6.80 = -1.1
θ= -47.4 degrees below the x axis.

Would this be correct?

Thanks!
 
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  • #2
Looks correct to me.
 
  • #3
Thanks a lot!
 

What is the V vector?

The V vector, also known as the velocity vector, is a mathematical representation of an object's speed and direction of motion.

What is the magnitude of a V vector?

The magnitude of a V vector is the length of the vector, which represents the speed or magnitude of the object's motion.

How is the magnitude of a V vector calculated?

The magnitude of a V vector can be calculated using the Pythagorean theorem, where the square of the magnitude is equal to the sum of the squares of the vector's components (i.e. speed in the x-direction and speed in the y-direction).

What is the direction of a V vector?

The direction of a V vector is represented by an angle in relation to a reference axis. It can be measured in degrees or radians and is typically measured counterclockwise from the positive x-axis.

How is the direction of a V vector represented?

The direction of a V vector can be represented using various notation systems, such as unit vectors, polar coordinates, or direction angles. It is important to specify both the magnitude and direction of a V vector in order to fully describe the object's motion.

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