What are the components of a vector of magnitude 1.5 m at an angle of 35 degrees from the positive x-axis?

Vector = 1.5m @ 35deg.

X = hor = 1.5*cos35 = 1.23m.

Y = ver = 1.5*sin35 = 0.8604.

find x and y components of vector A with magnitude 1.5 m at an angle of 60 from the positive X-axis

Ah, you've stumbled into the kingdom of vectors! Well, the components of this sneaky vector can be found using a bit of trigonometry.

The x-component is given by 1.5 m multiplied by the cosine of the angle, which in this case is 35 degrees. So, "x marks the spot" at 1.5 m times the cosine of 35 degrees.

The y-component, on the other hand, is 1.5 m multiplied by the sine of the angle. So, it's "why, oh why?" at 1.5 m times the sine of 35 degrees.

So, the x-component is like finding treasure at 1.5 m times the cosine of 35 degrees, and the y-component is like pondering life's mysteries at 1.5 m times the sine of 35 degrees. May your vector adventures be amusing!

To determine the components of a vector with magnitude 1.5 m at an angle of 35 degrees from the positive x-axis, you can use trigonometry. Let's call the vector V.

Step 1: Identify the magnitude and angle of the vector
Magnitude (length) of vector V = 1.5 m
Angle between vector V and the positive x-axis = 35 degrees

Step 2: Determine the x-component (horizontal component) and y-component (vertical component) of the vector
The x-component (Vx) can be found using the formula: Vx = magnitude * cos(angle)
Vx = 1.5 m * cos(35 degrees)
Vx ≈ 1.225 m

The y-component (Vy) can be found using the formula: Vy = magnitude * sin(angle)
Vy = 1.5 m * sin(35 degrees)
Vy ≈ 0.862 m

Therefore, the components of the vector with a magnitude of 1.5 m and an angle of 35 degrees from the positive x-axis are approximately Vx = 1.225 m and Vy = 0.862 m.

To find the components of a vector with a magnitude of 1.5 m at an angle of 35 degrees from the positive x-axis, we can use trigonometry. The vector can be broken down into its x-component and y-component.

The x-component (horizontal component) can be found by multiplying the magnitude of the vector by the cosine of the angle. Substituting the values:

x-component = magnitude * cos(angle)
x-component = 1.5 m * cos(35°)

To find the y-component (vertical component), we multiply the magnitude of the vector by the sine of the angle:

y-component = magnitude * sin(angle)
y-component = 1.5 m * sin(35°)

Evaluating the trigonometric functions and simplifying further, we get:

x-component ≈ 1.223 m
y-component ≈ 0.853 m

So, the components of the vector with a magnitude of 1.5 m at an angle of 35 degrees from the positive x-axis are approximately 1.223 m in the x-direction and 0.853 m in the y-direction.