Question

If the magnitude of a vector is√8 .If it's x-component is 2 ,then it's y- component is

Answer 1

The answer is below

Step-by-step explanation:

A vector quantity is a quantity that has both magnitude and direction. The magnitude of a vector is the length of that vector.

The magnitude of a vector a with a x component of x and y component of y is given by the formula:

`|a|=√(x^2+y^2)`

Given that the vector has a magnitude of √8, the x component is 2 and the y component = y. Hence:

`√(8)=√(2^2+y^2)\\\\squaring\ both\ sides:\\\\8=4 + y^2\\\\y^2=8-4\\\\y^2=4\\\\square\ root\ of\ both\ sides:\\\\y=√(4) \\\\y=\pm 2\\\\y=+2\ or\ y=-2`