Question

5. Given that O is the origin and the coordinates of three points A(8,1,0), B(0, 5, 8) and C(14, 1, 15). M is the midpoint of AB. Determine a) the position vectors \overrightarrow{OA}, \overrightarrow{OB} and \overrightarrow{OC}; b) the vectors \overrightarrow{AB} and \overrightarrow{CM}; c) whether CM is perpendicular to AB; and d) the area of the triangle ABC.

          5. Given that O is the origin and the coordinates of three points A(8,1,0),
B(0, 5, 8) and C(14, 1, 15). M is the midpoint of AB. Determine
a) the position vectors \overrightarrow{OA}, \overrightarrow{OB} and \overrightarrow{OC};
b) the vectors \overrightarrow{AB} and \overrightarrow{CM};
c) whether CM is perpendicular to AB; and
d) the area of the triangle ABC.

5. Given that O is the origin and the coordinates of three points A(8,1,0),
B(0, 5, 8) and C(14, 1, 15). M is the midpoint of AB. Determine
a) the position vectors OA, OB and OC;
b) the vectors AB and CM;
c) whether CM is perpendicular to AB; and
d) the area of the triangle ABC.

Added by Jose Carlos P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Supreeta N

09/12/2023

Step 1

To find the position vectors, we subtract the coordinates of the origin (O) from the coordinates of each point. OA = A - O = (8, 1, 0) - (0, 0, 0) = (8, 1, 0) OB = B - O = (0, 5, 8) - (0, 0, 0) = (0, 5, 8) OC = C - O = (14, 1, 15) - (0, 0, 0) = (14, 1, 15) Show more…

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want all the step 🙏🏻 5. Given that O is the origin and the coordinates of three points A8,1,0 B0,5,8 and C14,1,15M is the midpoint of AB.Determine a the position vectors OA,OB and OC b the vectors AB and CM; c) whether CM is perpendicular to AB;and d the area of the triangle ABC.