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Is (1.1) a unit vector? Explain. Choose the correct answer below. O A. (1.1) is not a unit vector, since its length is not 1. B. (1.1) is a unit vector, since each of its components has a magnitude of 1. OC. (1.1) is a unit vector, since its length is 1. OD. (1.1) is not a unit vector, since the sum of its components is not 1. Define the points P) and -8-33 For the vector pa do bong Setch the vector in an xy-coordinate system b. Compute the magnitude of the vector Graph the vector P. Choose the correctrecho ОА OD Type med sig ned

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Benjamin

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Step 1/2

Given vector is

`<1,1>`

The objective is to check whether the given vector is unit vector or not.

Explanation:

A vector `<a,b>` is said to be unit vector if its length equals to one written `||<a,b>||=1`

Step 2/2

Computing the length of the unit vector:

`||<1,1>|| = sqrt((1)^2+(1)^2)`

` = sqrt(1+1)`

` = sqrt2!=1`

This implies that `||<1,1>||!=1`

So `<1,1>` is not a unit vector since its length is not `1` .

Explanation:

The length of the vector `<a,b>` is computed by the formula `||<a,b>||=sqrt(a^2+b^2)`

Final Answer

Option (A) is correct.

`<1,1>` is not a unit vector since its length is not `1` .

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