Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
Bartleby Related Questions Icon

Related questions

Q: I need help with number 19
A: please stop  posting these king of questions and misleading others Explanation:Step 1:post your…
Q: Hello, can you explain the first section of the question. Thank yu
A: Function f(x,y)  take maximum and minimum value at its critical points
Q: I need help with the questions below, thank you
A:
Q: 1. Simplify. (6-2)³ - (5 +5²) O-14 -32 34 5
A: The given expression        6-23-5+52
Q: can you do the next part of the question please
A: In order to  estimate the parameters, we need to calculate the sample mean and sample variance of…
Q: Can you please answer this question
A:
Q: only one answer is correct
A:
Q: I wanted to ask, to receive your assistance, can I just upload a question and receive help with it…
A: Procedure for asking  a well formulated problem
Q: uld not understand how the values after one interation is calculated?
A: The k-means clustering
Q: Can someone complete question 2
A: The given function is:f(x,y)=(x+5)eyGiven point is:P=(3, 0)
Q: The second and last question need to be answered
A: The sample size of companies, The sample mean, The standard deviation, The significance level, The…
Q: where is number 6?
A: Given data :  Desk arranged in 4 rows and 4 columns Probability  of success (p) = 4/16= 1/4 = 0.25…
Q: 14. For f(x) = x' – 6x² +9x , identify the critical points and inflection points A) Critical Points:…
A: Dear student, Since you have posted two questions, as per our policy we will answer first question.…
Q: Determine whether the scatter diagram indicates that a linear relation may exist between the two…
A: The Negative and positive correlation are determined below as follows:   Positive correlation: when…
Q: ssing 2 more questions
A: here we have to use Empirical rule  68% of the values are contained in μ-σ to μ+σ 95% of the values…
Q: Compute the following: -6 9 -87 7 -8 -1 3 4 + -5 -6 6 -8 1 8 4
A: Let us consider two matrix A and B Sum of the matrix exists if matrices are of same order Sum of…
Topic Video
Question

Please answer all parts of the attached question

### Example 2: Calculate the Area of Triangle ABC Given the following coordinates, calculate the area of the triangle formed by the points A, B, and C: #### Option A - \( A(2, 1, 1) \) - \( B(4, 3, 0) \) - \( C(1, 3, -2) \) #### Option B - \( A(0, 0, 0) \) - \( B(-1, 2, 3) \) - \( C(1, 2, 6) \) #### Option C - \( A(1, 3, 2) \) - \( B(2, -1, 0) \) - \( C(1, 10, 6) \) Use the determinant method for calculating the area of a triangle in three-dimensional space. If the coordinates of the vertices are \( A(x_1, y_1, z_1) \), \( B(x_2, y_2, z_2) \), and \( C(x_3, y_3, z_3) \), then the area of triangle ABC is given by: \[ \text{Area} = \frac{1}{2} \left| \begin{vmatrix} x_1 & y_1 & z_1 & 1 \\ x_2 & y_2 & z_2 & 1 \\ x_3 & y_3 & z_3 & 1 \\ \end{vmatrix} \right| \] ### Steps for Calculation: 1. Form the matrix using the coordinates of the given points. 2. Compute the determinant of the formed matrix. 3. Apply the formula to find the area of the triangle.
expand button
Transcribed Image Text:### Example 2: Calculate the Area of Triangle ABC Given the following coordinates, calculate the area of the triangle formed by the points A, B, and C: #### Option A - \( A(2, 1, 1) \) - \( B(4, 3, 0) \) - \( C(1, 3, -2) \) #### Option B - \( A(0, 0, 0) \) - \( B(-1, 2, 3) \) - \( C(1, 2, 6) \) #### Option C - \( A(1, 3, 2) \) - \( B(2, -1, 0) \) - \( C(1, 10, 6) \) Use the determinant method for calculating the area of a triangle in three-dimensional space. If the coordinates of the vertices are \( A(x_1, y_1, z_1) \), \( B(x_2, y_2, z_2) \), and \( C(x_3, y_3, z_3) \), then the area of triangle ABC is given by: \[ \text{Area} = \frac{1}{2} \left| \begin{vmatrix} x_1 & y_1 & z_1 & 1 \\ x_2 & y_2 & z_2 & 1 \\ x_3 & y_3 & z_3 & 1 \\ \end{vmatrix} \right| \] ### Steps for Calculation: 1. Form the matrix using the coordinates of the given points. 2. Compute the determinant of the formed matrix. 3. Apply the formula to find the area of the triangle.
Expert Solution
Check Mark
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
See solutionCheck out a sample Q&A here
Step 1
VIEW
Step 2
VIEW
Step 3
VIEW
bartleby

Step by stepSolved in 3 steps with 3 images

See solution
Check out a sample Q&A here
Blurred answer
Knowledge Booster
Background pattern image
Trigonometry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
Trigonometry (11th Edition)
Trigonometry
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:PEARSON
Text book image
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Cengage Learning
Text book image
Algebra and Trigonometry
Trigonometry
ISBN:9781938168376
Author:Jay Abramson
Publisher:OpenStax
Text book image
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
SEE MORE TEXTBOOKS