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 chapterNext, 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?
- 1Use the wording this chapter gives for head-to-tail method.
- 2The book says: a method of adding vectors in which the tail of each vector is placed at the head of the previous vector.
- 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.