Intersection of two planes: the line and the angle, Multivariable Calculus
In this video, we look at the intersection of two planes given by the equations x + 2y + 3z = 4 and 4x + 6y + 7z = 8. We start by sketching a diagram to visualize the planes and their intersection. Then, we describe the line of intersection by finding a point on the line and determining the direction vector using the cross product of the normal vectors of the planes. Finally, we calculate the angle between the two intersecting planes using the sine of the angle derived from the cross product and magnitudes of the normal vectors.
#mathematics #math #multivariablecalculus #calculus3 #calculus #MathTutorial #CrossProduct #AngleOfIntersection #STEMEducation #vectorcalculus #iitjam #iitjammathematics
Watch video Intersection of two planes: the line and the angle, Multivariable Calculus online without registration, duration hours minute second in high quality. This video was added by user Dr. Bevin Maultsby 28 June 2024, don't forget to share it with your friends and acquaintances, it has been viewed on our site 870 once and liked it 20 people.