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3 years ago

Given that vector p=i+2j-2k and q=2i-j+2k, find two vectors m and m satisfying the condition;

Mathematics

1 answer:

Stels [109]3 years ago

6 0

9514 1404 393

Answer:

m = j +k
n = 2i +k

Step-by-step explanation:

There are an infinite number of possibilities. Any vector whose dot-product with p is zero will be perpendicular to p.

Let m = 0i +1j +ak. Then we require ...

m·p = 0 = 0×1 +1×2 +a(-2) ⇒ 0 = 2 -2a ⇒ a = 1

m = 0i +1j +1k

Let n = 2i +0j +bk

n·p = 0 = 2×1 +0×2 +b(-2) ⇒ 2 -2b = 0 ⇒ b = 1

n = 2i +0j +1k

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Answer:

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Step-by-step explanation:

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Answer:

$29364.95

Step-by-step explanation:

The formula to apply is;

$A=P(1+\frac{r}{n} )^{nt}$

where ;

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t=total number of years

Given in the question

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Substitute the values in the equation;

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Checking the answer

$A=P(1+\frac{r}{n} )^{nt} \\\\\\A=29364.95(1+\frac{0.08}{2} )^{16} \\\\\\A=29364.95(1.04)^{16} \\\\\\A=55000$

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3 years ago

A landscape plan includes a rectangular flower bed that is surrounded the wood planks. In the drawing, the rectangular flower be

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Step-by-step explanation:

we have

length =8in

breadth =6in

since . The length and width of the actual flower bed will be 24 times larger than the length and width in the drawing.

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length=8×24=192in

breadth =6×24=144in

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answer:the perimeter of the actual flower bed =2(l+b)

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answer : the perimeter of the drawing

=2(8+6)=96in

(c) What is the effect on the perimeter of the flower bed with the dimensions are multiplied by 24? Show your work

perimeter of flower bed /perimeter of drawing

=96/672=1/7

<h3>perimeter of drawing is increased by 7times of perimeter of flower bed</h3>

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4 years ago

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ehidna [41]

Answer:

No solution.

Step-by-step explanation:

2x + y = 7

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y = 7 - 2x

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this doesn't make sense so theer is:

No solution.

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