Under what condition the sum and difference of the two vectors will be equal in magnitude?

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

Can the sum of two vectors be perpendicular to each other?

Adding perpendicular vectors is fairly straightforward. If we add two vectors using the tip to tail method, the combination of them creates a triangle. …

What is the condition for the two vectors to be perpendicular to each other?

Two vectors A and B are perpendicular if and only if their scalar product is equal to zero.

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.

When the two vectors P and Q are perpendicular to each other the direction of the resultant is given by?

magnitude R
When two forces of magnitude P and Q are perpendicular to each other, their resultant is of magnitude R. When they are at an angle of 180^(@) to each other, their resultant is of magnitude (R )/(sqrt2).

What is the length of the vector?

The length of a vector is the square root of the sum of the squares of the horizontal and vertical components. If the horizontal or vertical component is zero: If a or b is zero, then you don’t need the vector length formula. In this case, the length is just the absolute value of the nonzero component.

How do you prove that two vectors are perpendicular?

And two vectors are perpendicular if and only if their scalar product is equal to zero. Let us first find the components of vectors BAand BCgiven the coordinates of the three points. BA= (-2 – 2, k – 3) = (-4, k – 3) BC= (2 k – 2, -4 – 3) = (2 k – 2, -7)

Are the vectors A and B parallel?

Vectors A and B are parallel. Vectors A and C are not parallel. ABC is a right triangle at B if and only if vectors BA and BC are perpendicular. And two vectors are perpendicular if and only if their scalar product is equal to zero.

Is the sum of two vectors equal to their difference?

The sum of two vectors is at right angles to their difference. How do you show that the vectors are equal in magnitude? Let’s say we have two vectors, v= (a, b, c) and w= (d, e, f).

What is the difference between perpendicular and parallel and perpendicular?

Parallel, because their dot product is one. Parallel, because their dot product is zero. Neither perpendicular nor parallel, because their dot product is neither zero nor one. Perpendicular, because their dot product is one. Perpendicular, because their dot product is zero.