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
kvv77 [185]
3 years ago
15

For what values of b are the vectors [-6,b,2] and [b,b2,b] orthognal

Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

Answer:

b = 2, 0, -2

Step-by-step explanation:

This is a multivariable calculus question and two vectors are orthogonal if and only if their dot product is zero. Since

[-6,b,2] . [b,b²,b] = -6b + b³ + 2b

      = -4b + b³

  =b (4+b²)

== b (2²+b²)

  ==b (b-2)(b+2)

The given vectors are orthogonal if b = −2,

                                                            b =  0,

                                                             b = 2

You might be interested in
Insert parenthesis in the following problem to make it true.
suter [353]

Answer:

(7-2) x 2 -1 = 9

Step-by-step explanation:

(7-2) = 5 x 2 =10 -1 = 9

6 0
3 years ago
Solve the following equation: 6x - 3x + 13 = 7 + 9x - 6
Colt1911 [192]

Answer:

x = 2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which equation is equivalent to log Subscript 3 Baseline (x + 5) = 2?
adell [148]

Answer:

The correct option is right-bracket squared 3 squared =x+5

Step-by-step explanation:

The equation is \log _{3}(x+5)=2

Option a: \log _{3}(x+5)=3^{2}

This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option a is not equivalent to \log _{3}(x+5)=2

Option b: \log _{3}(x+5)=2^{3}

This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option b is not equivalent to \log _{3}(x+5)=2

Option c: x+5=3^{2}

This is possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option c is equivalent to \log _{3}(x+5)=2

Option b: x+5=2^{3}

This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option b is not equivalent to \log _{3}(x+5)=2

Thus, the correct option is c: x+5=3^{2}

Hence, the equation x+5=3^{2} is equivalent to \log _{3}(x+5)=2

8 0
3 years ago
Julie drew a picture of her rectangular garden,. In her picture,the length of her garden is 7/8 inches and the width is 3/4 inch
stepan [7]

Answer:

21/32 square inches.


Step-by-step explanation:

The area of a rectangle = length x width

The area of her picture = length x widht

= 7/8 x 3/4

= 21/32

The area of her picture is 21/32 square inches.

Yes, I agree the area of the picture is 21/32 square inches.

The area must be in square inches. So she need to specify it.

Thank you.

5 0
3 years ago
The recreation department is creating teams for baseball. 295 people have signed up. How many teams of 24 people will they be ab
RUDIKE [14]

Answer:

There will be 12 full teams and 7 extra people.

Step-by-step explanation:

Please mark me Brainliest

4 0
2 years ago
Other questions:
  • An exhibit at Tabu World Square in Japan includes a scale model of the Empire State Building. The model was built using a scale
    11·1 answer
  • 2x/7=15/22 Where do I start? I am stuck!
    8·1 answer
  • Susan tips at the rate of $75 to 5 waiters. How many waiters will she be tipping, if she can afford a $90 tip?
    10·2 answers
  • Use the ratio of a 45-45-90 triangle to solve for the variables​
    10·2 answers
  • John makes $63.70 cutting grass for 5 Hours. How much does he make per hour
    11·2 answers
  • Find an equation of the tangent line to the curve at the given point. y = x3 − 3x + 2, (3, 20)
    13·1 answer
  • Determine the moment m that will produce a maximum stress of 70 mpa on the cross-section
    11·1 answer
  • What is thirty six times thirty eight divided by three
    14·2 answers
  • 2x - y = 4<br> y = 2x + 4<br> Solution(s):<br><br> PLEASEEE
    11·1 answer
  • A stack of printer paper is 2 inches thick and contains 500 sheets. estimate the thickness of an individual sheet of the printer
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!