Please correct me if this is wrong

According to my interpretation of the dot product and cross product from the

book 3d math primer, dot product will allow us to tell if the 2 vectors form

an acute, right or obtuse angle. And from the cross product, we get the

normal of a plane. Could anyone here elaborate this concept, the book gives

me a full stop at this point. Thanks a lot

Jack

the dot product is equal to the cosine of the smallest angle between two

vectors multiplied by the lengths of the 2 vectors.

the cross product gives you a vector which is perpendicular to both vectors,

the direction will depend on the order. A X B = - B X A. Using the left

hand rule you place your left hand open with your fingers in the direction

of the first vector, then curl your fingers toward the second vector, your

thumb

will point in the direction of the resulting vector.

The length of the crossproduct result is equal to the sine of the smallest

angle between the two vectors multiplied by the lengths of the two vectors.

Robin

XXXX@XXXXX.COM ...

vectors multiplied by the lengths of the 2 vectors.

the cross product gives you a vector which is perpendicular to both vectors,

the direction will depend on the order. A X B = - B X A. Using the left

hand rule you place your left hand open with your fingers in the direction

of the first vector, then curl your fingers toward the second vector, your

thumb

will point in the direction of the resulting vector.

The length of the crossproduct result is equal to the sine of the smallest

angle between the two vectors multiplied by the lengths of the two vectors.

Robin

XXXX@XXXXX.COM ...

Hi Robin,

The usages are practically correct as well?

Thanks a lot

Jack

"Robin" < XXXX@XXXXX.COM >

: XXXX@XXXXX.COM ...

vectors,

vectors.

The usages are practically correct as well?

Thanks a lot

Jack

"Robin" < XXXX@XXXXX.COM >

: XXXX@XXXXX.COM ...

vectors,

vectors.

Yes,

since the dot product can given you cosine of the angle, you can use

arccosine and determine the angle between 0 and 180 degrees, ie 0<=acute<90,

right==90 or 90<obtuse<=180

since a plane can be defined by two non colinear vectors, the cross product

will give you a vector normal to it.

Robin

% XXXX@XXXXX.COM ...

since the dot product can given you cosine of the angle, you can use

arccosine and determine the angle between 0 and 180 degrees, ie 0<=acute<90,

right==90 or 90<obtuse<=180

since a plane can be defined by two non colinear vectors, the cross product

will give you a vector normal to it.

Robin

% XXXX@XXXXX.COM ...

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