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
Zina [86]
3 years ago
10

Calculate (A⃗ ×B⃗ )⋅C⃗ for the three vectors A⃗ with magnitude A = 5.08 and angle θA = 25.6 ∘ measured in the sense from the +x

- axis toward the +y - axis, B⃗ with B = 3.94 and θB = 63.9 ∘, and C⃗ with magnitude C = 6.16 and in the +z - direction. Vectors A⃗ and B⃗ are in the xy-plane. (A⃗ ×B⃗ )⋅C⃗ ( A → × B → ) ⋅ C → = nothing
Mathematics
1 answer:
alexgriva [62]3 years ago
8 0

Answer:

(A⃗ ×B⃗ )⋅C⃗ = - 76.415

Step-by-step explanation:

First we need to calculate (A⃗ ×B⃗ ) :

(A⃗ ×B⃗ ) = A.B.sin (α).n

Where A is the magnitude of A⃗

Where B is the magnitude of B⃗

Where α is the angle between A⃗ and B⃗ = 63.9 - 25.6 = 38.3

Finally n is the vector orthogonal to A⃗ and B⃗

n magnitude is 1 and his direction is given by the right hand-rule

so n = ( 0 , 0 , 1 )

(A⃗ ×B⃗ ) = A.B.sin (α).n = 5.08 . 3.94 . sin (38.3) . (0 , 0 , 1 ) = (0,0,12.4)

C⃗ can be written as C.(0,0,-1) because of his +z - direction

C.(0,0,-1) = 6.16.(0,0,-1) = (0,0,-6.16)

(A⃗ ×B⃗ )⋅C⃗ = (0,0,12.4).(0,0,-6.16) = -76.41480787 = -76.415

You might be interested in
Choose the correct translation of the following statement into symbolic form using the uppercase letters available. If neither w
Over [174]

Answer:

¬(W∨S)→¬(J∨E)

D→(B∨C)

X is true

No

Step-by-step explanation:

The hypotheses  "neither water nor soft drinks can quench your thirst" translates to ¬(W∨S) ("neither nor" negates the disjunction W∨S). The "if,... then" translates to the implication symbol (arrow). The conclusion "juice will not do it, unless the juice contains electrolytes" translates to ¬(J∨E). This is because if J or E were true, then J would be true (because E implies J), contrary to the conclusion that J is false ("juice will not do it"), then J∨S is false.

The hypothesis here is "the dyer breaks" hence D is the hypothesis. The conclusion is "we will hang the clothes to dry, or take the clothes to a coin-operated laundry" which is the same as (B∨C).

The proposition p→p is always true (according to truth tables). In this case, p:=X is true, then p is true and X is true.

X∨Y is false if and only if X is false and Y is false, so both statements X,Y must be false.

5 0
3 years ago
As an estimation we are told £3 is €4. <br> Convert €96 to pounds
Maru [420]
96*3/4
288/4
=72 pounds
8 0
3 years ago
Read 2 more answers
What is the explicit rule for the geometric sequence?<br> 600, 300, 150, 75, ...
pochemuha

Answer:

Step-by-step explanation:

Hello, this is a geometric sequence so we are looking for a multiplicative factor.

a_0=600\\\\a_1=a_0 \cdot \boxed{\dfrac{1}{2}} = 300 = 600 \cdot \boxed{\dfrac{1}{2}}\\\\a_2=a_1 \cdot \boxed{\dfrac{1}{2}} = 150= 300 \cdot \boxed{\dfrac{1}{2}}\\\\a_3=a_2 \cdot \boxed{\dfrac{1}{2}} = 75 = 150 \cdot \boxed{\dfrac{1}{2}}

So, the explicit formula is for n

\boxed{a_n=a_0\cdot \left(\dfrac{1}{2}\right)^n=600\cdot \left(\dfrac{1}{2}\right)^n}}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
3 years ago
Administrators at a large public high school are interested in their students’ standardized test scores. Last year, the mean sco
ratelena [41]

Answer:

The appropriate hypotheses for performing a significance test is:

H_0: \mu = 51

H_1: \mu > 51

Step-by-step explanation:

Last year, the mean score on the state’s math test was 51. The administrators have trained the teachers in a new method of teaching math hoping to raise the scores on this standardized test this year.

At the null hypothesis, we test if the mean score this year is the same as last year, that is:

H_0: \mu = 51

At the alternate hypothesis, we test if the mean score improved this year from last, that is:

H_1: \mu > 51

The appropriate hypotheses for performing a significance test is:

H_0: \mu = 51

H_1: \mu > 51

8 0
3 years ago
Given the functions f(x)=4x+8 and g(x)=2x-12 Find f(x)+g(x)
Bingel [31]

Answer:

6x - 4

Step-by-step explanation:

f(x) + g(x)

= 4x + 8 + 2x - 12 ← collect liketerms

= 6x - 4

6 0
3 years ago
Read 2 more answers
Other questions:
  • You select several items from a supply catalog. The list prices of the items are $4.29, $2.13, $1.25, $17.95 and $0.85. Your com
    5·1 answer
  • Idk how to do this ? Like any of it
    14·2 answers
  • There are 20 remaining suitcases, of which 16 will be further marked down. True or False: The fraction 2016 is in the simplest f
    14·1 answer
  • Can you do Nmb 1,2,3
    8·1 answer
  • Next value 4 D 7 G 10 J 13
    13·1 answer
  • Soledads regular pay rate is $7.50 per hour. If she works more than 40 hours in one week, she receives 1.5 times
    6·1 answer
  • Q # 28 please solve the equation
    9·2 answers
  • What is 8 and 1/5 - 4 and 2/5
    6·1 answer
  • In the United States in 1986, 48.7% of persons age 25-pluswere males. Of these males 23.8% were college graduates. In addition,
    15·1 answer
  • A line passes through (4, 5) and (8, 9). Which equation best represents the line?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!