Practice Questions on Resultant Vector Formula

Q1. Resultant of Two Vectors in 2D

Given vectors:

  • A = (3, 4)
  • B = (1, 2)

Find the components of the resultant vector R.

Calculate the magnitude of R.

Determine the direction (angle) of R with respect to the positive x-axis.

Q2. Resultant of Two Vectors in 3D

Given vectors:

  • A = (2, −1, 3)
  • B = (−1, 4, 2)

Find the components of the resultant vector R.

Calculate the magnitude of R.

Q3. Resultant of Three Vectors in 2D

Given vectors:

  • A = (4, 1)
  • B = (−2, 3)
  • C = (1, 4)

Find the components of the resultant vector R.

Calculate the magnitude of R.

Determine the direction (angle) of R with respect to the positive x-axis.

Resultant Vector Formula: Definition, Examples

Resultant vector formula gives the resultant value of two or more vectors. The result is obtained by computing the vectors with consideration of the direction of each vector to others. This formula has various applications in Engineering & Physics.

Similar Reads

What is Resultant Vector Formula?

A resultant vector is the vector that results from adding two or more vectors together. It is found by combining the magnitudes and directions of the individual vectors. The resultant vector is generally denoted using R. The magnitude ∣R∣ of the resultant vector R can be found using the Pythagorean theorem....

Resultant Vector Formula

Based on the direction of a vector to other vectors, the Resultant Vector formula is classified into three types....

Examples on Resultant Vector Formula

Example 1: Find the resultant vector for the vectors i+2j+3k and 4i+8j+12k...

Practice Questions on Resultant Vector Formula

Q1. Resultant of Two Vectors in 2D...

FAQs on Resultant Vector Formula

What is a Resultant Vector?...

Contact Us