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3 years ago

Find a unit vector that is orthogonal to both i + j and i + k.

Mathematics

1 answer:

kenny6666 [7]3 years ago

3 0

Answer: i - j - k

Step-by-step explanation:

Taking the cross product between two vectors will give you a third vector that is orthogonal(perpendicular) to both vectors.

<1,1,0> x <1,0,1>

$det(\left[\begin{array}{ccc}i&j&k\\1&1&0\\1&0&1\end{array}\right] )$

the determinate of the matrix: <1,-(1),-1>

or: i - j - k

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Let a = 0.9876 and b = 0.9887 with N = 2, calculate the midpoint.

rodikova [14]

Answer:

For a=0.9876 and b=0.9887 mid point will be 0.98815

Step-by-step explanation:

We have given a = 0.9876 and b = 0.9887

And N = 2

We have to find the mid point

For finding mid point we know that formula

Midpoint $=\frac{a+b}{2}$ , here we have given a=0.9876 and b = 0.9887

So midpoint will be $=\frac{0.9876+0.9887}{2}=\frac{1.9763}{2}=0.98815$

So for a=0.9876 and b=0.9887 mid point will be 0.98815

5 0

3 years ago

1) Which relation is a function?

jasenka [17]

Answer:

Step-by-step explanation:

x = y-4x^2 can be rearranged to get y = 4x^2 + x, which is a function

3 0

2 years ago

Solve 2x+2>10 i need to know what this is?

mrs_skeptik [129]

Answer:

x>4

Step-by-step explanation:

$2x + 2 > 10 \\ 2x > 10 - 2 \\ 2x > 8 \\ x > 4$

Sorry if there is any mistakes

6 0

3 years ago

See image for problem :)

Lynna [10]

Answer:

I was expecting a mirror but okay

5 0

2 years ago

Read 2 more answers

Find the surface area of the composite figure.

ELEN [110]

Answer:

$644cm^2$

Step-by-step explanation:

First we'll work out the surface area of the pink figure.

That's the area of the two 5 by 6 rectangles on the top and bottom, plus the area of the two 5 by 20 and two 6 by 20 rectangles on the sides.

However, we note that the purple figure is blocking out a 6 by 12 section on the pink figure, so we'll need to subtract this.

The above works out to $2\times(30+100+120)-72=428 cm^2$ .

Then we'll work out the surface area of the purple figure.

This will be the area of the two 4 by 6 rectangles at the top and bottom, plus the area of the two 4 by 12 and one 6 by 12 rectangles on the sides. Note that there's only one 6 by 12 rectangle because the other face is joined to the pink figure, so it's blocked out.

That's $2\times(24+48)+72=216cm^2$ .

So the total surface area is $428+216=644cm^2$ .

6 0

1 year ago