Vector Addition

Front

What is vector addition?

Back

Vector addition is the process of combining two or more vectors to determine a resultant vector. This is done by adding the corresponding components of the vectors.

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

Front

How do you find the magnitude of a vector v = ?

Back

Tags

CCSS.HSN.VM.A.1

Front

What is the formula for the resultant vector when adding two vectors?

Back

The resultant vector R of two vectors A and B can be found using the formula R = A + B, where you add the corresponding components of the vectors.

Tags

CCSS.HSN-VM.B.4B

CCSS.HSN-VM.B.4A

Front

What are the components of a vector in a rectangular coordinate system?

Back

In a rectangular coordinate system, a vector is represented by its horizontal (x) and vertical (y) components, denoted as .

Tags

CCSS.HSN.VM.A.2

Front

What is the direction of a vector?

Back

The direction of a vector is the angle it makes with the positive x-axis, measured counterclockwise.

Tags

CCSS.HSN.VM.A.1

Front

How do you determine the quadrant of a vector?

Back

The quadrant of a vector can be determined by the signs of its components: Q1 (<+, +>), Q2 (<-, +>), Q3 (<-, ->), Q4 (<+, ->).

Tags

CCSS.HSN.VM.A.1

Front

What is the significance of the angle in vector representation?

Back

The angle in vector representation indicates the direction of the vector in relation to the coordinate axes.

Tags

CCSS.HSN.VM.A.1

Front

What is the graphical representation of vector addition?

Back

Vector addition can be graphically represented using the 'tip-to-tail' method, where the tail of one vector is placed at the tip of another.

Tags

CCSS.HSN-VM.B.4B

CCSS.HSN-VM.B.4A

Front

What is the resultant of vectors <5, 0> and <0, 6>?

Back

The resultant of vectors <5, 0> and <0, 6> is <5, 6>.

Tags

CCSS.HSN-VM.B.4B

CCSS.HSN-VM.B.4A

Front

How do you convert a vector from rectangular to polar form?

Back

Tags

CCSS.HSN.VM.A.1