Question
Asked Sep 15, 2019
94 views

Find the angle ∠BAC if A = (−2, 1, 3), B = (0, 1, −1) and C = (1, 0, 2)

check_circle

Expert Answer

Step 1

Consider the given vertices.

A = (-2, 1, 3), B = (0, 1, -1), C = (1, 0, 2)

help_outline

Image Transcriptionclose

C (1, 0, 2 В (), 1, -1) A (-2, 1, 3)

fullscreen
Step 2

Now, find the vectors of the given vertices.

Vector AB is

help_outline

Image Transcriptionclose

AB Position vector of B- Position vector of A AB of+jR2i+j+3k) AB j-k+2i-j-3k AB 20-4

fullscreen
Step 3

Similarly, vect...

help_outline

Image Transcriptionclose

AC Position vector of C- Position vector of A AC i+0j+2(-2i + j+ 3k ) AC i 2 -3 AC 3i--k

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Estimate the limit numerically or state that the limit doesn't exist lim x→0  sin(4x)/x

A: Before we get into the evaluation of this limit, let's recall the fundamental rule of limit as shown...

question_answer

Q: For the pair of functions f(x) and g(x), find f(g(x)), g(f(x)) and f(f(x)). f(x) = x3 − x;  g(x) = ...

A: Given,

question_answer

Q: Consider the points below. P(0, −2, 0),    Q(6, 1, −2),    R(7, 4, 1) (a) Find a nonzero vector orth...

A: Given, The three points are P (0, −2, 0), Q (6, 1, −2), R (7, 4, 1).

question_answer

Q: There was a question on a previous assignment I had trouble completing. I was unable to fully solve ...

A: Consider the two paths y=x and y=x2 through the origin.

question_answer

Q: (a) Find parametric equations for the line that passes through the point (−4, 7) and is parallel to ...

A: The line passes through the point (-4,7) and direction vector= <6,-9> [Because parallel vector...

question_answer

Q: (9/5)*(10/18)

A: Given,

question_answer

Q: Find the volume V of the described solid S. The base of S is the region enclosed by the parabola  y ...

A: Given base of the solid S enclosed by parabola y=3-2x2 and the x axis and cross-sections are perpend...

question_answer

Q: Find the slope and y-intercept (if possible) of the equation of the line. Then sketch the graph of t...

A: The given equation of line is

question_answer

Q: Numerator of X2 over denominator of (x-1)2(x+1)=

A: GivenNumerator of x2 over denominator of(x-1)2(x+1)