Question

Find the direction of the sum of these two vectors: 3.14 m B 30.0° -60.0° 2.71 m

PLEASE I NEED HELP! JUST FOR DIRECTION!!!​

Answer 1

-28.3°.

Step-by-step explanation:

To find the direction of the sum of two vectors, we can use the head-to-tail method. This involves placing the tail of one vector at the head of the other vector and drawing a vector from the tail of the first vector to the head of the second vector.

Given the vectors: 3.14 m B 30.0° -60.0° 2.71 m

We can find the x and y components of the vectors first:

Vector 1: 3.14 m B 30.0°

x-component: 3.14 m * cos 30.0° = 2.67 m

y-component: 3.14 m * sin 30.0° = 1.57 m

Vector 2: -60.0° 2.71 m

x-component: 2.71 m * cos -60.0° = -1.36 m

y-component: 2.71 m * sin -60.0° = -2.12 m

To find the sum of the vectors, we add their x-components and y-components

x-component = 2.67 m + (-1.36 m) = 1.31 m

y-component = 1.57 m + (-2.12 m) = -0.55 m

The direction of the vector is the angle that the vector makes with the positive x-axis, so we can use the arctan function to find the angle:

Direction = arctan(y-component/x-component) = arctan(-0.55/1.31) = -28.3°

So the direction of the sum of the vectors is -28.3°.

Answer 2

The direction of the sum of two vectors is 28.3°.

To find the direction of the sum of two vectors, we can use the head-to-tail method.

Given the vectors: 3.14 m B 30.0° -60.0° 2.71 m

We can find the x and y components of the vectors first:

Vector 1: 3.14 m B 30.0°

x-component: 3.14 m * cos 30.0° = 2.67 m

y-component: 3.14 m * sin 30.0° = 1.57 m

Vector 2: -60.0° 2.71 m

x-component: 2.71 m * cos -60.0° = -1.36 m

y-component: 2.71 m * sin -60.0° = -2.12 m

To find the sum of the vectors, we add their x-components and y-components

x-component = 2.67 m + (-1.36 m)

x-component = 1.31 m

y-component = 1.57 m + (-2.12 m)

y-component = -0.55 m

The direction of the vector is the angle that the vector makes with the positive x-axis, so we can use the arctan function to find the angle:

Direction = arctan(y-component/x-component)

Direction = arctan(-0.55/1.31)

Direction = -28.3°

So the direction of the sum of the vectors is -28.3°.