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2 years ago

Determine the value of a so that A = 2i+aj+k and B = 4i-2j-2k are perpendicular

1 answer:

7 0

In order to make them perpendicular, their dot product must result in zero. so:

$4 \times 2 - 2a - 2 \times 1 = 0$

$2a = 8 - 2 = 6$

$a = 3$

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Answer:

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Use the distributive property.

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2 years ago

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Answer:

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3 years ago

Find the value of x and y. Show all your work neat and<br> in order.

Mazyrski [523]

Answer:

x = 21°

y = 29°

Step-by-step explanation:

a) Solving for x

Note that:

(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:

3x - 3 = 60° (Alternate interior angles)

Add 3 to both sides

3x - 3 +3 = 60 + 3

3x = 63°

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x = 21°

b) Solving for y

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(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°

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64 - 64 + 4y = 180° - 64

4y = 116°

y = 116/4

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2 years ago

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Step-by-step explanation:

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3 years ago

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2 years ago

Determine the value of a so that A = 2i+aj+k and B = 4i-2j-2k are perpendicular​

Determine the value of a so that A = 2i+aj+k and B = 4i-2j-2k are perpendicular