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OverLord2011 [107]
3 years ago
6

Let v1=(3,5) and v2=(-4,7) Compute the unit vectors in the direction of |v1| and |v2|?

Mathematics
1 answer:
AleksandrR [38]3 years ago
6 0
By definition, the unit vector of v = (a,b) is
\hat{v} =  \frac{\vec{v}}{|v|}

Therefore,
The unit vector of v₁ = (3,5) in the direction of |v₁| s
 (3,5)/√[3² + 5²]
= (3,5)/√34

The unit vector of v₂ in the direction of |v₂| is
(-4,7)/√[(-4)² + 7²]
= (-4,7)/√65

Answer:
The unit vector of v₁ in the direction of |v₁} is ( \frac{3}{\sqrt{34}} ,  \frac{5}{\sqrt{34}} )
The unit vector of v₂ in the directin of |v₂| is
( \frac{-4}{\sqrt{65}} , \frac{7}{\sqrt{65}} )

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69 420 equils 69 420

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3 years ago
What is an equation of the line that passes through the points (4,4) and (8.1)
andrey2020 [161]

Answer:

  • y = - 3/4x + 7

Step-by-step explanation:

<u>Use both points and find the slope:</u>

  • m = (1 - 4) / (8 - 4) = - 3/4

<u>Find the line, using point-slope form and point (4, 4):</u>

  • y - 4 = - 3/4(x - 4)
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2 years ago
What is the volume of a rectangular prism that is 3 cm by 7 cm by by 7 cm?
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Answer:

147 cm^{3}

Step-by-step explanation:

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hope this helps :)

3 0
3 years ago
Use the table to write a linear function that relates y to x.
PSYCHO15rus [73]

Answer:

linear function is a function whose graph is a line. Use the graph to write a linear function that relates y to x. The points lie on a line. Find the slope and y-intercept of the line.

Step-by-step explanation:

8 0
2 years ago
What is the value of x?
Phantasy [73]

Answer:

value of x = 5.8 mm

Step-by-step explanation:

We have given,

Two right triangles EDH and EDG.

In right triangle EDH, EH = 56mm , DH = 35 mm

Using Pythagoras theorem we can find ED.

i.e EH² = ED²+DH²

56²=ED²+35²

ED²=56²-35²

ED = √(56²-35²) = 7√39 = 43.71 mm

Now, Consider right triangle EDG

Here, EG=44.8mm , GD = x+4  and ED = 7√39

Again using Pythagoras theorem,

EG² = ED² + DG²

44.8²= (7√39)²+ (x+4)²

(x+4)² = 44.8² - (7√39)²

x+4 = √(44.8² - (7√39)²)

x+4 = 9.8

or x = 9.8 - 4 = 5.8 mm

Hence we got the value of x = 5.8 mm

6 0
3 years ago
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