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Given the dot product w•w = 29, find the magnitude of w.

Given The Dot Product Ww 29 Find The Magnitude Of W class=

Sagot :

Answer:

Option D is correct.

[tex]|w|=\sqrt{29}[/tex]

Explanations:

Given the dot product expression as shown:

[tex]w\cdot w=29[/tex]

Determine the value of 'w"

[tex]w^2=29[/tex]

Take the square root of both sides to have:

[tex]\begin{gathered} \sqrt{w^2}=\pm\sqrt{29} \\ w=\pm\sqrt{29} \end{gathered}[/tex]

Since we only need the magnitude of "w" and the magnitude is the positive value of the variable, hence;

[tex]|w|=\sqrt{29}[/tex]

This gives the modulus of "w"