Addition and Subtraction of Vectors

Tap or click on cards to flip them and reveal the answers. You can use arrow keys as well.

  • Loading folders...
1/15 cards
What is a vector in mathematics?
Click to flip
A vector is a quantity with both magnitude and direction.
Click to flip
How do you add two vectors?
Click to flip
Place the tail of the second vector at the head of the first and draw the resultant from the tail of the first to the head of the second.
Click to flip
What is the resultant vector?
Click to flip
It's the vector that represents the sum of two or more vectors.
Click to flip
How do you subtract vectors?
Click to flip
Reverse the direction of the vector to be subtracted, then add it to the first vector.
Click to flip
Can vectors be added algebraically?
Click to flip
Yes, by adding corresponding components of the vectors.
Click to flip
What are unit vectors?
Click to flip
Vectors with a magnitude of 1, used to represent direction.
Click to flip
How do you find the magnitude of a vector?
Click to flip
Use the formula √(x² + y²) for a vector with components x and y.
Click to flip
What does the term 'vector component' mean?
Click to flip
It's the projection of a vector along the axes of a coordinate system.
Click to flip
How does the parallelogram method work for vector addition?
Click to flip
Place vectors with the same initial point, complete a parallelogram, diagonal is the sum.
Click to flip
What is the triangle method in vector addition?
Click to flip
Placing vectors head to tail to form a triangle, with the closing side as the resultant.
Click to flip
Why are vectors important in physics?
Click to flip
They describe physical quantities with direction and magnitude, like force and velocity.
Click to flip
What are orthogonal vectors?
Click to flip
Vectors that are at right angles to each other, having a dot product of zero.
Click to flip
Can vectors in different dimensions be added directly?
Click to flip
No, vectors must be within the same dimensional space to be added.
Click to flip
What role do coordinates play in vector operations?
Click to flip
They determine the position from which vector calculations start.
Click to flip
What does vector notation look like?
Click to flip
Vectors are often written in bold or with an arrow above, like \(\vec{a}\) or \(\mathbf{a}\).
Click to flip

Need More Study Materials?

Go back to the chat to generate additional resources.

Create More Resources