Test: Vectors

Dynamic tasks on vector coordinates, sum, difference, scalar multiplication, magnitude and equality.

Question qty: 10
Duration in minutes: 15
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Sample questions

Multiply vector (a, b) by k.
Find vector AB when A(x1, y1) and B(x2, y2).
Find the vector opposite to (a, b).
Add vectors (a, b) and (c, d).
Calculate the magnitude of vector (a, b).
How do you find the coordinates of a point translated by a given vector?
Which pair of vectors is equal? Consider the direction and magnitude of both coordinates.
Subtract vector (c, d) from (a, b).

Vectors

A vector has direction and magnitude. If A(x₁, y₁) and B(x₂, y₂), then vector AB is (x₂ − x₁, y₂ − y₁). Two vectors are equal when both corresponding coordinates match, regardless of their position in the plane.

Vector operations

Add and subtract vectors coordinate by coordinate. Scalar multiplication multiplies both coordinates, and the magnitude is |v| = √(x² + y²). Pay attention to point order: vector BA is the opposite of vector AB.

Test: Vectors

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Sample questions

Vectors

Vector operations

Test: Vectors

Question Nr. 1 out of 10

Question Nr. 2 out of 10

Question Nr. 3 out of 10

Question Nr. 4 out of 10

Question Nr. 5 out of 10

Question Nr. 6 out of 10

Question Nr. 7 out of 10

Question Nr. 8 out of 10

Question Nr. 9 out of 10

Question Nr. 10 out of 10

Sample questions

Vectors

Vector operations

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