Question

Consider points A(2,−3,4),B(0,1,2), and C(−1,2,0). Find the area of parallelogram ABCD with adjacent sides AB→ and AC→. Find the area of triangle ABC. Find the distance from point B to line AC.

Name: consider points a234b012 and c120 find the area of parallelogram abcd with adjacent sides ab and ac find the area of triangle abc find the distance from point b to line ac
Uploaded: 2023-09-12T14:08:45-08:00
Duration: 3 min 8 s
Channel: Oluwadamilola Ameobi
Description: consider points a234b012 and c120 find the area of parallelogram abcd with adjacent sides ab and ac find the area of triangle abc find the distance from point b to line ac

          Consider points  A(2,−3,4),B(0,1,2),
  and  C(−1,2,0).
 
Find the area of parallelogram  ABCD
  with adjacent sides  AB→
  and  AC→.
 
Find the area of triangle  ABC.
 
Find the distance from point  B
  to line  AC.

Added by Lily A.

Calculus Volume 3

Gilbert Strang 1st Edition

Chapter 2

Instant Answer

Solved by Expert Oluwadamilola Ameobi

09/12/2023

Step 1

AB = B - A = (0,1,2) - (2,-3,4) = (-2, 4, -2) AC = C - A = (-1,2,0) - (2,-3,4) = (-3, 5, -4) The area of the parallelogram formed by two vectors is given by the magnitude of their cross product. AB x AC = (-2, 4, -2) x (-3, 5, -4) = (-18, 2, 14) The Show more…

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Consider points A(2,−3,4),B(0,1,2), and C(−1,2,0). Find the area of parallelogram ABCD with adjacent sides AB→ and AC→. Find the area of triangle ABC. Find the distance from point B to line AC.