Q&A

What is the angle between 2 equal vectors?

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What is the angle between 2 equal vectors?

Vector means a quantity having both direction and magnitude. Equal vector means the quantity and direction both are the same. If the direction is the same the angle between them is 0°.

At what angle two vectors of equal magnitude are oriented such that their resultant is also equal to magnitude of either of them?

120°. Originally Answered: The two vectors have equal magnitude and their resultant also have the same magnitude.

What is resultant angle?

θ is the angle between vectors A and B, and R is said to be the resultant vector. Then, according to the parallelogram law of vector addition, the diagonal of the parallelogram represents the resultant of vectors A and B.

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What is the resultant of two equal vectors?

The magnitude of the resultant of two equal vectors is equal to the magnitude of either vector.

How to find the magnitude of the resultant vector?

Let θ be the angle between P and Q and R be the resultant vector. Then, according to parallelogram law of vector addition, diagonal OB represents the resultant of P and Q. Now, expand A to C and draw BC perpendicular to OC. or OB 2=(OA+AC) 2+BC 2. . . . . . ( i ) Which is the magnitude of resultant. Let ϕ be the angle made by resultant R with P .

What is the formula to find the angle between two vectors?

The formula to find the angle between two vectors is Therefore, the angle between two vectors 2i + 3j – k and i – 3j + 5k is. For more Maths-related articles, register with BYJU’S – The Learning App and explore videos to learn with ease.

How to find the angle between two vectors using dot product?

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To find the angle between two vectors, one needs to follow the steps given below: Step 1: Calculate the dot product of two given vectors by using the formula : \\(\\vec{A}.\\vec{B} = A_{x}B_{x}+ A_{y}B_{y}+A_{z}B_{z}\\)

How to find the direction of a vector with due east?

Once the measure of the angle is determined, the direction of the vector can be found. In this case the vector makes an angle of 45 degrees with due East. Thus, the direction of this vector is written as 45 degrees.