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gregori [183]
3 years ago
7

Let A=3i-j-4k,B=-2i+4j-3k and C=i+2j-k compute 2A-B+3C​

Mathematics
1 answer:
Paladinen [302]3 years ago
7 0

A = 3i - j - 4k

B = -2i + 4j - 3k

C = i + 2j - k

2A - B + 3C =

= 2(3i - j - 4k) - (-2i + 4j - 3k) + 3(i + 2j - k) =

= 6i - 2j - 8k + 2i - 4j + 3k + 3i + 6j - 3k =

= 6i + 2i + 3i - 2j - 4j + 6j - 8k + 3k - 3k =

= <u>1</u><u>1</u><u>i</u><u> </u><u>-</u><u> </u><u>8</u><u>k</u>

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3 years ago
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A rectangular prism has a length of 5 1/8 feet, a width of 7 1/2 feet, and a height of 2 feet. What is the volume of the prism?
maksim [4K]

For this case we have that by definition, the volume of a rectangular prism is given by:

V = A_ {b} * h

Where:

A_ {b}: It is the area of the base

h: It's the height

According to the data we have:

length = 5 \frac {1} {8} = \frac {8 * 5 + 1} {8} = \frac {41} {8}

width = 7 \frac {1} {2} = \frac {2 * 7 + 1} {2} = \frac {15} {2}

Then:

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Thus, the volume is:

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3 years ago
Which of the following gives a product of x^3 - 3x ?
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Answer:

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Step-by-step explanation:

Lets verify

RHS

\\ \rm\longmapsto x(x^2-3)

  • Use distributive law
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\\ \rm\longmapsto x(x^2)-3x

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\\ \rm\longmapsto LHS

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Suppose a principal amount of $2079 were invested into a simple interest account that pays an annual rate of 2.31% then the amou
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This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

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In this problem, we have that:

P = 2079, I = 0.0231, t = 14

So

E = 2079*0.0231*14 = 672.3486

The amount of interest earned at the end of 14 years would be $672.3486

4 0
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