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
pentagon [3]
3 years ago
11

Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.) a = 6i − 9j + k

, b = 8i − k
Mathematics
1 answer:
finlep [7]3 years ago
7 0

Answer:

The angle between given vectors is 58 degrees.          

Step-by-step explanation:

We are given the following vectors in the question:

a = 6i- 9j + k\\b = 8i - k

We have to find the angle between the two vectors.

Formula:

\cos \theta = \displaystyle\frac{a.b}{|a||b|}

Evaluating,

a.b\\= ( 6i- 9j + k)(8i - k)\\=6.8 -9.0 +1(-1) = 47\\|a| = \sqrt{6^2 + (-9)^2+1^2} = \sqrt{118}\\|b| = \sqrt{8^2 + (-1)^2} = \sqrt{65}\\\text{Putting values}\\\\\cos \theta = \displaystyle\frac{a.b}{|a||b|}\\\\\cos \theta = \frac{47}{\sqrt{118}\sqrt{65}} = \frac{47}{\sqrt{7670}}\\\\\theta = \arccos \frac{47}{\sqrt{7670}}\\\\\theta = 57.54336^\circ \approx 58\text{ degrees}

The angle between given vectors is 58 degrees.

You might be interested in
A drawer is filled with 26 white socks. Justin randomly picks a sock from the drawer. What is the likelihood that the sock will
inna [77]
Not likely at all....in fact, 100% not likely, being that the drawer is only filled with 26 white socks
3 0
3 years ago
Read 2 more answers
27 divided by 52,758
marta [7]

Answer:

511

Step-by-step explanation:

ok

3 0
4 years ago
Read 2 more answers
Can anyone help me with number 7 a b and c?
Sonbull [250]

Answer:

7a........they are similar because none of the sides are equal

6 0
3 years ago
An item is regularly priced at
jekas [21]

85% = 0.85

1-0.85 = 0.15

80 x 0.15 = 12

the price now is $12

7 0
3 years ago
571428 to nearest tenth
vichka [17]
Thw answer is 571430 because 28 rounds to 30
4 0
3 years ago
Other questions:
  • Under which conditions do you expect helium gas to deviate most from ideal behavior?
    7·2 answers
  • Θ is in Quadrant III and cos^2 0= 1/4
    9·1 answer
  • Negative four times<br> a number is -292. What<br> is the number?
    13·2 answers
  • Write an equation in point slope form that represents the line that passes through the point (-2,-1) and has a slope of 5. Then,
    9·1 answer
  • How do you solve for 3x-3=9
    9·2 answers
  • Help please !!!!
    8·1 answer
  • I need help with this one
    10·2 answers
  • =<br> 39 newspapers in 3 piles<br> newspapers per pile
    6·2 answers
  • Solve 4x + 5 = x + 8 please
    5·2 answers
  • SOMEONE PLEASE HELP I will mark you BRAINLIST
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!