When the sum and difference of two vectors is same in magnitude?

A:The sum and difference of two vectors will be equal in magnitude when two vectors are perpendicular to each other.

How do you find the magnitude of the sum of two vectors?

How to find the magnitude of vector addition – Quora. In words magnitude of sum of two vectors is square of magnitude of first vector + square of magnitude of second vector + twice the dot product of the two vectors whose sum’s magnitude is to be found.

How will you prove that two vectors are perpendicular?

Two vectors are perpendicular when their dot product equals to . \displaystyle \left< v_1, v_2\right>\cdot\left< w_1, w_2\right>=v_1w_1+v_2w_2.

How do you find the angle between two vectors with magnitudes?

Starts here2:53Angle Between 2 Vectors (Formula) – YouTubeYouTubeStart of suggested clipEnd of suggested clip60 second suggested clipFormerly we’ll be using its cosine theta equals u dot V so that’s the dot product of two vectorsMoreFormerly we’ll be using its cosine theta equals u dot V so that’s the dot product of two vectors divided. By the magnitude of U. Times the magnitude of V.

Under what conditions is the sum and difference?

Hence the direction of sum and difference of two vectors will remain the same as long as the two vectors are of different magnitude, acting in the same direction. And the difference should be taken such that the vector with less magnitude should be subtracted from the vector with greater magnitude.

Is the magnitude of the sum of two vectors is equal to the magnitude of difference of the two vectors the angle between these vectors is?

Here angle $\theta $ represents the angle between vectors A and B which we are required to find out. Similarly, we can write the magnitude of difference of these two vectors which can be given in the following way. Now on squaring both sides of this equation, we get the following expression.

What is the magnitude of the vector difference?

The magnitude of a vector is the square root of the squares of its components along the mutually perpendicular axes. Use this to check weather two or more vectors have the same magnitude. Originally Answered: Can a vector be zero?

What makes something perpendicular?

A line is said to be perpendicular to another line if the two lines intersect at a right angle.