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The Vector Product. Remember that the scalar product is a number, not a vector Using the vector product to multiply two vectors, will leave the answer.

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Presentation on theme: "The Vector Product. Remember that the scalar product is a number, not a vector Using the vector product to multiply two vectors, will leave the answer."— Presentation transcript:

1 The Vector Product

2 Remember that the scalar product is a number, not a vector Using the vector product to multiply two vectors, will leave the answer in form of a vector. The good news is that you will not have to remember this formula

3 Rearrange the vectors as follows The vector product

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6 One very important property of the vector product is: It will always be perpendicular to both vectors, a and b

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10 Note that any combination of coordinates could have been used to find the normal vector, as well as any coordinates could have been used to find a value of k.

11 Angle between two planes

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13 Point of intersection of a line and a plane The points of intersection can be found when the equation of the line is expressed in parametric form.

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15 The angle between a line and a plane Note t hat we are using sin

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17 Line intersection of two planes If two planes intersect, they intersect in a line. The parametric form of the line can be found as follows Using the parametric form, the equation of the line is

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19 The shortest distance between the point and the line is therefore 7 units

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21 The shortest distance between the point and the plane is therefore 15 units


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