Solve the problem.
-Find the area of the triangle determined by the points P(-3, 6, -4), Q(-7, , ), and R(-8, -2, ).
A) $\sqrt { 15410 }$
B) $\sqrt { 13170 }$
C) $\frac { \sqrt { 15410 } } { 2 }$
D) $\frac { \sqrt { 13170 } } { 2 }$

Question

Solve the problem.
-Find the area of the triangle determined by the points P(-3, 6, -4), Q(-7, , ), and R(-8, -2, ). 
A) $\sqrt { 15410 }$
B) $\sqrt { 13170 }$
C) $\frac { \sqrt { 15410 } } { 2 }$
D) $\frac { \sqrt { 13170 } } { 2 }$

Quizplus · Accepted Answer

The area of a triangle formed by three points in 3D space can be found using the formula $\frac{1}{2} | \vec{PQ} \times \vec{PR} |$, where $\vec{PQ}$ and $\vec{PR}$ are vectors from point P to Q and from P to R, respectively, and $\times$ denotes the cross product of the two vectors. However, the coordinates for points Q and R are incomplete as provided, making it impossible to calculate the area directly from the given information. Therefore, without the complete coordinates for Q and R, the correct answer cannot be determined based on the provided data. The choice D is selected based on the assumption that there was an error in the question setup, as no calculation can be accurately performed with the given incomplete information.

Solve the Problem 15410\sqrt { 15410 }15410​ B) 13170\sqrt { 13170 }13170​

Solve the Problem $\sqrt { 15410 }$ B) $\sqrt { 13170 }$