Question

Question
n⃗ =⟨−2, −1⟩ and D=[−4423].

What is D⋅n⃗ ?

Enter your answer as a vector by filling in the boxes.

Answer 1

The dot product of the D⋅n is 32.

According to the statement

We have given the value of n vector and d matrix and we have to find the dot product of these.

So, For this purpose,

The given values:

n = {-2,-1} and D = [−4423].

The dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers, and returns a single number.

So, The d matrix become

$D = \left[\begin{array}{cc}-4&4&\\2&3&\\\end{array}\right]$

Now solve it with the help of multiplication then the matrix become

D = (-12, -8)

and n = {-2,-1}

Now multiply both terms with the dot product.

So, the dot product of the both terms will become

D.n = 24 +8

Then

The output of the dot product of both terms is 32.

So, The dot product of the D⋅n is 32.

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