Question

if a is a unit vector and (2x-3a).(2x+3a)=91, then find the value of |x|

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The magnitude of vector x i.e., |x| is 5.

Step-by-step explanation:

The given equation is (2x-3a).(2x+3a) = 91

Now, find the magnitude of |x|

the vector is a unit vector, so the magnitude will be 1.

$\implies (2 \overrightarrow{x} - 3 \overrightarrow{a} ).(2 \overrightarrow{x} + 3 \overrightarrow{a} ) = 91\\\\\implies 4\mid x \mid^2 -6 \overrightarrow{x} . \overrightarrow{a} + 6 \overrightarrow{x} . \overrightarrow{a} - 9\mid a \mid^2\ = 91\\\\\implies 4\mid x \mid^2 - 9 = 91\\\\\implies 4\mid x \mid^2\ = 100\\\\\implies \mid x \mid^2 \ = 25\\\\\implies \mid x \mid\ = 5$

In geometry, a vector is an object with magnitude and direction. A line with an arrow pointing in the direction of the vector's magnitude and its length can be used to depict a vector. As a result, vectors have starting and terminal points and are represented by arrows.

Vectors move an object from point A to point B. The magnitude of the vector is the distance along the line connecting the two points A and B, and the vector's direction is the movement from point A to point B. In math, physics, engineering, and many other disciplines, vectors are used extensively.

To learn more about unit vectors, click on the link below:

https://brainly.in/question/48841814

To learn more about vectors, click on the link below:

https://brainly.com/question/25705666

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