Vector Magnitude and Direction Quiz

Two vectors are considered equal if they have the same magnitude and direction.

The negative of a vector has the same magnitude as the given vector but the opposite direction.

A vector is often represented by an arrow or a directed line segment.

<p>A vector can be denoted by printing a letter in boldface, putting an arrow above the letter, or underlining the letter.</p> Signup and view all the answers

<p>The magnitude of a vector is represented by the length of the arrow from the origin to the point representing the vector.</p> Signup and view all the answers

<p>The magnitude of the vector is denoted as OA, a, or a.</p> Signup and view all the answers

<p>The negative of a vector is the vector with the same magnitude but in the opposite direction.</p> Signup and view all the answers

<p>A vector can be represented as the product of its magnitude and unit vector in the direction of the vector.</p> Signup and view all the answers

<p>The components of a 2-D vector are: a1 = x2 - x1; a2 = y2 - y1.</p> Signup and view all the answers

<p>A 3-dimensional vector is represented as [A1, A2, A3] or [a1, a2, a3].</p> Signup and view all the answers

<p>For a 2-dimensional vector, the magnitude is given by: a = sqrt(a1^2 + a2^2).</p> Signup and view all the answers

<p>A vector can be represented as [a1, a2, a3] or [a1i + a2j + a3k].</p> Signup and view all the answers

<p>The triple of vectors i, j, k represent the component vectors of a in the x, y, and z directions respectively.</p> Signup and view all the answers

<p>The position vector or radius vector r of a point A (x, y, z) is the vector with the origin as the initial point and A as the terminal point, written as r = xi + yj + zk.</p> Signup and view all the answers

<p>The magnitude is given by r = sqrt(x^2 + y^2 + z^2).</p> Signup and view all the answers

<p>A 2-dimensional vector is called rectangular because there is a right angle between the x and y directions.</p> Signup and view all the answers

<p>In 3-dimensional space, there are three axes: x-axis (forward), y-axis (right), and z-axis (up).</p> Signup and view all the answers

<p>The sum/resultant of two vectors AB and BC is the single vector AC.</p> Signup and view all the answers