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The Projection Formula of a Vector on b Vector I wonder: what is the difference between a*cos angle and a*b/|b|? What is the difference in usage?
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What is the projection formula of the vector on the vector?
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Explanation of Vector Projective Formula The projective formula of v over w v times the product of w divided by the quotient of the square of the absolute value of w multiplied by w Explanation of Vector Projective Formula The projective formula of v on w v times the product of w divided by the quotient of the square of the absolute value of w multiplied by w Explanation of Vector Projective Formula The projective formula of v over w, v times the product of w divided by the quotient of the square of the absolute value of w multiplied by w
Quotient of v multiplied by the product of w divided by the square of the absolute value of w
=|V||W|cosa/|W|2=|V|cosa/|W|(a represents the angle between V and W)
The product of v times w represents the projective |V|cosa of V on W times |W|
Make |V|cosa/|W |=λ
V times the product of w divided by the quotient of the square of the absolute value of w multiplied by w
=λW
All the above V and W represent vectors
What condition can vector b be linearly represented by vector group A
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When a, b satisfies what condition,|vector a+vector b|=|vector a vector b| holds
Collinear, same direction
When the non-collinear vector a. b satisfies what condition, the vector a b divides the angle between a and b. When the non-collinear vector a. b satisfies what conditions, the vector a b divides the angle between a and b.
The necessary and sufficient condition for vector (a+b) to bisect the angle of vector a and vector b is |a|=|b|.
|A|=|b|---The parallelogram OACB is a diamond-diagonal OC bisecting ∠AOB.
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