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    IB Math AAHL
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    Vectors
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    Video

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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

    Video Reviews

    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.

    Basics & Scalar ProductVector ProductLinesPlanes

    The video will automatically pause when it reaches a problem.

    Vector product

    AHL 3.16

    The vector product (cross product) of two vectors v and w is given by:

    v×w=⎝⎛​v2​w3​−v3​w2​v3​w1​−v1​w3​v1​w2​−v2​w1​​⎠⎞​📖

    This vector is perpendicular to both original vectors. Using the right-hand rule, if your index finger points in the direction of v and your middle finger points towards w, your thumb points towards v×w. The vector product thus creates a new vector perpendicular to both original vectors.


    Example

    ⎝⎛​−213​⎠⎞​×⎝⎛​−12−3​⎠⎞​  ​=⎝⎛​1⋅(−3)−3⋅23⋅(−1)−(−2)⋅(−3)(−2)⋅2−1⋅(−1)​⎠⎞​ =⎝⎛​−9−9−2​⎠⎞​​

    Vector product

    AHL 3.16

    The vector product (cross product) of two vectors v and w is given by:

    v×w=⎝⎛​v2​w3​−v3​w2​v3​w1​−v1​w3​v1​w2​−v2​w1​​⎠⎞​📖

    This vector is perpendicular to both original vectors. Using the right-hand rule, if your index finger points in the direction of v and your middle finger points towards w, your thumb points towards v×w. The vector product thus creates a new vector perpendicular to both original vectors.


    Example

    ⎝⎛​−213​⎠⎞​×⎝⎛​−12−3​⎠⎞​  ​=⎝⎛​1⋅(−3)−3⋅23⋅(−1)−(−2)⋅(−3)(−2)⋅2−1⋅(−1)​⎠⎞​ =⎝⎛​−9−9−2​⎠⎞​​
    Basics & Scalar ProductVector ProductLinesPlanes