2 years ago

Aaaaaaaaaaaaaaaaaaaaa

Mathematics

1 answer:

tigry1 [53]2 years ago

8 0

Step-by-step explanation:

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Is -0.51 greater than or less than -8/15

alekssr [168]

Answer:

its less than

Step-by-step explanation

-8/15 equals -0.53 which means -0.51 is less than

6 0

3 years ago

The angles of a quadrilateral measures 80 degrees 100 degrees 100 degrees in this order. What kind of quadrilateral has this sha

bija089 [108]

A parallelogram

Because...
-opposite angles are congruent
-four sides
-angles must equal 360
100 + 100 +80 + y = 360

280 + y = 360

y = 80
-the angle we don't know is 80 degrees

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3 years ago

Find two unit vectors orthogonal to both given vectors. i j k, 4i k

Maurinko [17]

The cross product of two vectors gives a third vector $\mathbf v$ that is orthogonal to the first two.

$\mathbf v=(\vec i+\vec j+\vec k)\times(4\,\vec i+\vec k)=\begin{vmatrix}\vec i&\vec j&\vec k\\1&1&1\\4&0&1\end{vmatrix}=\vec i+3\,\vec j-4\,\vec k$

Normalize this vector by dividing it by its norm:

$\dfrac{\mathbf v}{\|\mathbf v\|}=\dfrac{\vec i+3\,\vec j-4\,\vec k}{\sqrt{1^2+3^2+(-4)^2}}=\dfrac1{\sqrt{26}}(\vec i+3\,\vec j-4\vec k)$

To get another vector orthogonal to the first two, you can just change the sign and use $-\mathbf v$ .