Question

Problem 3. The three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, -4), C(-3, 1, 5), determined in Cartesian coordinates. a) Find the cross product of the vectors \overrightarrow{R_{AB}} and \overrightarrow{R_{AC}} b) Find the unit vector perpendicular to the plane of the triangle ABC c) Find the area of the triangle ABC

          Problem 3.
The three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, -4), C(-3, 1, 5),
determined in Cartesian coordinates.
a) Find the cross product of the vectors \overrightarrow{R_{AB}} and \overrightarrow{R_{AC}}
b) Find the unit vector perpendicular to the plane of the triangle ABC
c) Find the area of the triangle ABC

Problem 3.
The three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, -4), C(-3, 1, 5),
determined in Cartesian coordinates.
a) Find the cross product of the vectors RAB and RAC
b) Find the unit vector perpendicular to the plane of the triangle ABC
c) Find the area of the triangle ABC

Added by Felipe H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Suman Saurav Thakur

Step 1

To find the cross product of two vectors, we can use the formula: RAs x RAc = (RAsy * RAcz - RAsz * RAcy, RAsz * RAcx - RAsx * RAcz, RAsx * RAcy - RAsy * RAcx) Here, RAs = (RAsx, RAsy, RAsz) and RAc = (RAcx, RAcy, RAcz). Show more…

Show all steps

Thanks for your feedback!

Cartesian Coordinates Problem 3: Determine the cross product of the vectors RAs and RAc. Find the unit vector perpendicular to the plane of the triangle ABC. Find the area of the triangle ABC.