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Not your average video:
Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.
Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.
Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.
Vectors
Watch comprehensive video reviews for Vectors, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.
Not your average video:
Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.
Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.
Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.
Not your average video:
Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.
Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.
Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.
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AHL 3.18
The intersection of 2 planes - if they are not parallel - is a line.
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We can find the line intersection by solving a system of equations.
Example
Consider the system of planes:
Let z=t.
From the second equation, y=2x−(3−t) From the first equation, x+2y=4−3t. Substituting y=2x−(3−t) into x+2y=4−3t yields
Hence y=2(2−t)−(3−t)=1−t. Thus the intersection line in vector form is:
AHL 3.18
The intersection of 2 planes - if they are not parallel - is a line.
Powered by Desmos
We can find the line intersection by solving a system of equations.
Example
Consider the system of planes:
Let z=t.
From the second equation, y=2x−(3−t) From the first equation, x+2y=4−3t. Substituting y=2x−(3−t) into x+2y=4−3t yields
Hence y=2(2−t)−(3−t)=1−t. Thus the intersection line in vector form is: