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ella [17]
3 years ago
14

Find the area of the parallelogram whose sides are given by vectors a and b. Use the cross product only.

Mathematics
1 answer:
MaRussiya [10]3 years ago
5 0

9514 1404 393

Answer:

  √869 ≈ 29.48 square units

Step-by-step explanation:

The vector cross product is ...

  (3·1 -5·4, -6·1 +2·4, 6·5 -2·3) = (-17, 2, 24)

The area is the magnitude of this vector, so is ...

  √((-17)² +2² +24²) = √(289 +4 +576) = √869 ≈ 29.48

The area is about 29.48 square units.

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Find the focus and directrix of the parabola with the equation x² = -22y.
Bad White [126]

9514 1404 393

Answer:

  focus: (0, -5.5)

  directrix: y = 5.5

Step-by-step explanation:

The equation compares to the form ...

  x² = 4py

where 4p = -22   ⇒   p = -22/4 = -5.5.

The value of p is the distance from the vertex to the focus. The negative value means the focus is below the vertex at (0, -5.5).

The directrix is above the vertex by the same amount, so is y = 5.5.

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Kisachek [45]
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7 0
4 years ago
Kendra had twice as much money as kareem. Kendra later spent $8 and kareem earned $6. By then,the two had the same amount of mon
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