Vector Worksheets

Diverse and comprehensive, our printable vector worksheets successfully cater to high school students. A vector quantity has magnitude and direction. The right way to represent a vector is to draw it as a pointed arrow. The length of the arrow is the magnitude, and the arrowhead denotes the direction of the vector. Learn much more with these pdfs that represent vectors in different forms and notations; practice conversion between different forms; and try your hands at vector operations like adding, subtracting, and multiplying vectors. Try our free vector worksheets and come back for more!

Representing Vectors in Two Ways

Gain mastery on expressing vectors in two different forms with these vector pdfs. Instruct high school students to represent each vector in terms of two unit vectors î and ĵ in part A and in <a, b> form in part B.

Expressing Vectors in Component Form

To write the vector in component form, find the horizontal and vertical displacement. In the next part, observe the vectors represented on the graphs and subtract the initial point from the terminal point.

Finding the Magnitude of a Vector

Journey through this collection of vector pdf worksheets to practice finding the magnitude of vectors. Apply the distance formula when the coordinates of the initial point and end point are given.

Finding the Direction Angle of a Vector

Scale up your learning with this bundle of vector worksheets with two levels of difficulty. Use the relevant formula to determine the angle made by the vector with the horizontal axis, the x-axis.

Expressing Vectors in Polar Form

High schoolers represent each vector in the polar form (r,θ) in the first part of these printable vector worksheets, and write the vectors in the Cartesian form in the next part.

Finding Unit Vectors

Recalibrate your practice with this amazing set of vector resources on finding vectors with the magnitude of 1. Divide the original vector by its magnitude to find the unit vector that is in the same direction as the given vector.

Put your learners in charge as they work their way up in finding the sum of two vectors. Add the corresponding x and y components to find the resultant vector.

Subtracting Two Vectors

Top every test on vector subtraction, addition of a vector with the negative of another vector, with these printable high school worksheets. To find the difference, subtract the corresponding x and y components.

Resultant of Vectors | Triangle Method and Parallelogram Method

Familiarize yourself with finding the resultant of vectors with these printable vector pdfs. Apply the triangle law of addition/subtraction to calculate the resultant vector in level 1 and use the parallelogram law in level 2.

Multiplying a Vector by a Scalar

Every high schooler must master vector multiplication! In part A, multiply each vector by a constant (scalar) and write the product. In part B, find the scalar multiple and its magnitude.

Linear Combination of Vectors

Keep the young mathematicians' interest alive with our ready-to-print vector pdf worksheets. Plug in the values in the given vectors, perform the vector operation, and find the linear combination of each vector. More practice in linear combination of vectors!

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