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hjlf
3 years ago
15

Find the inner product for (5,-1)*(-3,6) and state whether the vectors are perpendicular. a. 21; no c. -21; no b. 21; yes d. -21

; yes
Mathematics
1 answer:
nataly862011 [7]3 years ago
7 0

Answer:

c

Step-by-step explanation:

If the dot product of the vectors is zero then they are perpendicular

(5, - 1) • (- 3, 6)

= (5 × - 3) + (- 1 × 6) = - 15 + (- 6) = - 15 - 6 = - 21 ≠ 0

Since product is not zero vectors are not perpendicular

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3 0
3 years ago
Given right triangle MNL what is the value of cos(M)?
FromTheMoon [43]

Step 1

<u>Find the length of the side MN</u>

we know that

Applying the Pythagorean Theorem

ML^{2} =NL^{2} +MN^{2}

Solve for MN

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in this problem

ML=25\ units\\ NL=15\ units

Substitute in the formula above

MN^{2}=25^{2} -15^{2}

MN^{2}=400

MN=20\ units

Step 2

<u>Find the value of cos (M)</u>

we know that

in the right triangle MNL

cos (M)=\frac{adjacent\ side\ angle\ M}{hypotenuse}

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Substitute

cos (M)=\frac{20}{25}

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therefore

The answer is

The value of cos(M) is equal to 0.8


6 0
3 years ago
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