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Lesson 1068 of 1524

Motion in Two Dimensions

Next, use the head-to-tail method as for vector addition to obtain the resultant vector R

Practice this chapter

Next, use the head-to-tail method as for vector addition to obtain the resultant vector R The graphical method of adding vectors A and B involves drawing vectors on a graph and adding them by using the head-to-tail method.

The resultant vector R is defined such that A + B = R . The head-to-tail method of adding vectors involves drawing the first vector on a graph and then placing the tail of each subsequent vector at the head of the previous vector.

head-to-tail method — a method of adding vectors in which the tail of each vector is placed at the head of the previous vector. tail — the starting point of a vector; the point opposite to the head or tip of the arrow. graphical method — drawing vectors on a graph to add them using the head-to-tail method. magnitude and direction of R — then determined with a ruler and protractor.

Be able to use the Pythagorean theorem to determine the magnitude, R , of the resultant vector R. R = R x 2 + R y 2; use a trigonometric identity to determine the direction, θ , of R. θ = tan - 1 ( R y / R x ).

Worked example

What does “head-to-tail method” mean in Motion in Two Dimensions?

  1. 1Use the wording this chapter gives for head-to-tail method.
  2. 2The book says: a method of adding vectors in which the tail of each vector is placed at the head of the previous vector.
  3. 3Do not use the meaning of tail. That term means the starting point of a vector; the point opposite to the head or tip of the arrow.

Result: a method of adding vectors in which the tail of each vector is placed at the head of the previous vector

Why. That is the meaning this chapter gives for head-to-tail method.

Do not swap head-to-tail method and tail. head-to-tail method means a method of adding vectors in which the tail of each vector is placed at the head of the previous vector. tail means the starting point of a vector; the point opposite to the head or tip of the arrow.

Practice margin

This chapter

A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.