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3 years ago

Determine the value of a so that A = 2i+aj+k and B = 4i-2j-2k are perpendicular

1 answer:

7 0

In order to make them perpendicular, their dot product must result in zero. so:

$4 \times 2 - 2a - 2 \times 1 = 0$

$2a = 8 - 2 = 6$

$a = 3$

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2 years ago

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AveGali [126]

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2 years ago

Read 2 more answers

Connor took out a 4 year loan to buy a car at a 4% simple interest rate. if he has to pay $240 in interest, how much principal d

uysha [10]

Answer:

The principal borrow for loan is $1,500 .

Step-by-step explanation:

Given as :

The interest paid on simple interest = s.i = $240

The rate of simple interest applied = r = 4%

The time period for loan = t = 4 years

Let The principal borrow = $p

Now, from Simple Interest method

Simple Interest = $\dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}$

Or. s.i = $\dfrac{\textrm p\times \textrm r\times \textrm t}{100}$

Or, $240 = $\dfrac{\textrm p\times \textrm 4\times \textrm 4}{100}$

Or, $240 × 100 = 16 × p

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i.e p = $1,500

So, The principal borrow for loan = p = $1,500

Hence, The principal borrow for loan is $1,500 . Answer

3 0

3 years ago

paul worked 50 hours last week. if he earns $10 per hour plus time-and-a-half for any hours worked beyond 40 in a week, how much

quester [9]

Answer: 4150

Step-by-step explanation:

You take the 50, becuse the amount earned increases once you surpass 40 you do 40 x 10 and that = 4000 then you take the remaining 10 and times that by 15 (becuse after 40 it is 1.5 of what you where earning before you hit 40 hours and half of ten is 5 so you do 10 plus 5 and times that by 10) then add both numbers together and you have 4150! Hope that helped!

5 0

3 years ago

X^2-7x=18 solve for x please show work

zloy xaker [14]

So the answer is, x1=-2, x2=9
x^2-7x=18
x^2-7x-18=0
x^2+2x-9x-18=0
x*(x+2)-9(x+2)=0
(x+2)*(x-9)=o
x+2=0
x-9=0
X=-2
X=9
I hope u understand!

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3 years ago

Determine the value of a so that A = 2i+aj+k and B = 4i-2j-2k are perpendicular​

Determine the value of a so that A = 2i+aj+k and B = 4i-2j-2k are perpendicular