1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
boyakko [2]
3 years ago
5

Perpendicular Vectors:

Mathematics
1 answer:
klemol [59]3 years ago
3 0
1.
v x w = 8 i - 24 j + 15 k + 10 j - 12 i - 24 k =
= - 4 i - 14 j - 9 k
Answer: D )
2.
v x w = -16 i - 16 j - 18 k + 12 j + 48 i - 8 k =
= 32 i - 4 j - 10 k
Answer: C )
3.
The cross product:
< - 6, 7, 2 > x < 8, 5, -3 > =
= - 21 i + 16 j - 30 k - 18 j - 10 i - 56 k =
= - 31 j - 2 j - 86 k = < - 31, - 2, - 86 >
Vectors are perpendicular if: cos ( u, v ) = 0
< - 6 , 7. 2 > * < -31, - 2, - 86 > = 186 - 14 - 172 = 0
< 8, 5 , - 3 > * < - 31, - 2, - 86 > = -248 - 10 + 258 = 0
Answer: A ) < - 31, - 2 , - 86 >,  yes.
You might be interested in
Henry's patio is in the shape of a rectangle. He said the perimeter of the patio is 48 feet . He knows that one side is 9 feet w
ss7ja [257]

Answer:

2 sides of the patio are 9ft and another 2 sides are 15ft

Step-by-step explanation:

To solve this problem we have to know thata rectangle has 4 sides and 2 of them are equal to each other

This is the formula to calculate perimeter

p = perimeter 48 ft

a = side a = 9 ft

b = side b

p = 2a + 2b

we replace the known values

48ft = 2*9ft + 2b

48ft = 18ft + 2b

48ft - 18ft = 2b

30 / 2 = b

15 = b

2 sides of the patio are 9ft and another 2 sides are 15ft

8 0
3 years ago
A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he s
Mrrafil [7]

8 \times 25\% \\  = 8 \times  \dfrac{25}{100}  \\  = 2

Answer : He spends 2 hours doing paperwork each day.

Hope this helps. - M
4 0
4 years ago
Plzzz help i am ineeeddeddeedeededed of it!!!
Vikentia [17]
Sallys statement is always true
for example:
-6 + 2 = -4
but if I turn it around
2 - 6 = -4
same answer

-6 -6 = -12
swap around -6 - 6 = 12
same answer

again -3 + 6 = 3
and 6 - 3 = 3
6 0
4 years ago
Heights of women have a bell-shaped distribution with a mean of 161 cm and a standard deviation of 7 cm. What percent of women f
harkovskaia [24]

Answer:b

:D

Step-by-step explanation:d

504

5 0
2 years ago
Will give brainiest Will give brainiest Will give brainiest Will give brainiest Will give brainiest Will give brainiest Will giv
Licemer1 [7]

Answer:

222.7 cm³ of paper to wrap this.

Step-by-step explanation:

The rectangular prism is SA=2(wl+hl+hw)

Where:

w=5  l=5 h=4  

SA= 2((5*5)+(4*5)+(4*5))

SA=2(25+20+20)

SA=2(65)=130cm³

The square base pyramid is A= lw+l\sqrt{x} (w/2)^2+h^2+w +w\sqrt{x} (1/w)^2+h^2

SA= 6*5+6*\sqrt{x} (5/2)^2+5^2+5*\sqrt{x} (6/2)^2

≈92.69578 cm³

Add the two together 130+92.70 =222.7 cm³

5 0
4 years ago
Read 2 more answers
Other questions:
  • -7=9+c/5 what's the value of c ​
    6·2 answers
  • 24 is what percent of 60
    11·2 answers
  • Evaluate the given expression and express the result using the usual format for writing numbers (Instead of scientific notation)
    13·1 answer
  • You want to put $2,500 in a simple interest account.It has a 4% annual interest rate.How long will it take you to earn $200 in i
    7·1 answer
  • ​Yesterday, a movie theater sold 262 bags of popcorn. A large bag of popcorn costs ​$3. A small bag of popcorn costs ​$1. In​ al
    6·2 answers
  • Use the quadratic formula to solve the equation​.<br><br> 4x^2−10x+5=0
    8·1 answer
  • What is the surface area of this right circular cone?<br> radius=12<br> height=40
    5·1 answer
  • What are the solutions of this quadratic?<br><br> Y=X^2 -2X
    6·1 answer
  • -5 (4 + x) Need help
    14·2 answers
  • Please help me...asap
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!