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maw [93]
3 years ago
10

Find a*b. a=<5,2> , b=<4,5>

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
4 0
Find the dot product of the vectors

a = <ax, ay> and b = <bx, by>

The dot product is found by multiplying corresponding coordinates, and then sum all those products:

a * b = ax * ay + bx * by

________

For this question, you have these vectors

a = <5, 2> and b = <4, 5>

so the dot product is

a * b = 5 * 4 + 2 * 5

a * b = 20 + 10

a * b = 30 <----- this is the answer.


I hope this helps. =)
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The table represents the function f (x) = 3x-1
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Answer:

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Step-by-step explanation:

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We substitute x=-5 to find the value of a.

a = f( - 5) = 3( - 5) - 1

We evaluate to obtain:

a =  - 15 - 1 =  - 16

To find the value of b, we substitute x=4,

We get:

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To find c, we plug in x=8,

c = f(8) = 3(8) - 1 \\ c = 24 - 1

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4 years ago
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evablogger [386]

Answer: Archimedes go to sleep at 8.32 metres away from the rock.

Step-by-step explanation:

Given that the rock beside which he slept was 5 meters tall

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Angle Ø = 31 degree

To get distance x away from the rock, we will use trigonometry function. SohCahToa

TanØ = opposite/adjacent

Tan 31 = 5/x

x = 5/tan31

x = 8.32m

7 0
4 years ago
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Phoenix [80]

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Step-by-step explanation:

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6 0
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