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Formulas of Two Vectors Parallel
For example, a vector =(b, c) d vector =(e, f)
If a is parallel to b then c is multiplied by e-b by f=0
If a is perpendicular to b, then b is multiplied by e+ c multiplied by f =0
For example, a vector =(b, c) d vector =(e, f)
If a is parallel to b then c is multiplied by e-b by f=0
If a is perpendicular to b, then b multiplied by e + c multiplied by f =0
If two vectors a.b are perpendicular, a (1,2), b (2,4), then what is the formula for vector perpendicular? If two vectors a.b are perpendicular, a (1,2), b (2,4), then what is the formula for a, b vector perpendicular?
Is dot product a.b=0 Note not difference product aXb
Is the dot product a.b=0 Note not the difference product aXb
From A vector perpendicular to B vector, what formula conditions can be obtained.
Is the product of two vectors =0.
Is the number product of two vectors =0
What's the formula for | a vector - b vector |?
Triangle inequality of vector:
||A|-|b||
The inner vector representation of a triangle plus proof
The vector AB is represented by [AB], and the length of AB is represented by c
[AB] is the vector AB, and c is the length of AB
How to Prove intersection of three center lines of a triangle with a vector How to Prove intersection of three midlines of a triangle with a vector
AD, BE and CF are the three central lines of △ABC. It is proved by the vector method that AD, BE and CF are co-dotted.[ Prove] Let BE and CF with O, and BO=mOE, CO=nOF, where m and n are nonzero real numbers. Then: vector BO=m vector OE, vector CO=n vector OF. vector BC=vector OC-vector OB=vector BO-vector CO=m...
AD, BE and CF are the three central lines of △ABC. It is proved by the vector method that AD, BE and CF are co-dotted.[ Prove] Let BE and CF with O, and BO=mOE, CO=nOF, where m and n are nonzero real numbers. Then: vector BO=m vector OE, vector CO=n vector OF. vector BC=vector OC-vector OB=vector BO-vector CO=m.
AD, BE and CF are the three central lines of △ABC. It is proved by the vector method that AD, BE and CF have the same point.[ Prove] Let BE and CF intersect with O, and BO=mOE, CO=nOF, where m and n are nonzero real numbers. Then: vector BO=m vector OE, vector CO=n vector OF. vector BC=vector OC-vector OB=vector BO-vector CO=m.
RELATED INFORMATIONS
- 1. The vector a=(sinx,3/2), b=(cosx,-1) is known. (1) When a//b, find the value of the square x-2sinxcosx of 2*cosx; (2) Find the minimum value of f (x)=2sinx+(vector a+vector b)·(vector a-vector b) on [-π/2,0] and the value of x when the minimum value is obtained. The vector a=(sinx,3/2), b=(cosx,-1). (1) When a//b, find the value of the square x-2sinxcosx of 2*cosx; (2) Find the minimum value of f (x)=2sinx+(vector a+vector b)·(vector a-vector b) on [-π/2,0] and the value of x when the minimum value is obtained.
- 2. Given that a vector and b vector satisfy |a+b|=|a-b|, find a*b
- 3. Given vectors a=(1,2), b=(x,1), u=a+2b, v=2a-b, and u//v, find x? All letters are vectors Vector a=(1,2), b=(x,1), u=a+2b, v=2a-b, and u//v, find x? All letters are vectors
- 4. Given 2a+b=(-4,3) a-2b=(3,4) find a*b
- 5. The Formula of Vertical Vector b of Vector a
- 6. Given the vector a=(2,-1,3), b=(-1,4,2), c=(7,5,λ) coplanar, then the real number λ= A 62/7 B 63/7 C 64/7 D 65/7 I figured it wasn't one of the four answers.
- 7. In the plane vectors a, b, a =(4,-3),|b|=1, and the product of a and b =5, then the vector b =?
- 8. If vector A and vector B satisfy that the module of vector A is equal to 1, the module of vector B is equal to 2, and the module of vector A minus B is equal to 2, then the module of vector A plus B is obtained.
- 9. The vectors a, b are known to be non-zero vectors, and the module of a = the module of b = the module of a-b, and the angle between vector a and vector a+b is determined
- 10. When the two numbers are added together, Xiao Ming miscalculates and subtracts. The result is 8.6,10.4 less than the correct answer. The larger number in the original number is ______.
- 11. Why can the matrix rank of row vector multiply column vector be less than or equal to 1?
- 12. If two vectors parallel to the same vector are collinear vectors, the answer is right. If the same vector is zero, how to explain?
- 13. Three vertices A (0,2), B (-1,-2), C (3,1) of a quadrilateral ABCD are known, and BC =2 AD, the coordinates of vertex D are () A.(2,7 2) B.(2,−1 2) C.(3,2) D.(1,3) Three vertices A (0,2), B (-1,-2), C (3,1) of the quadrilateral ABCD are known, and BC =2 AD, the coordinates of vertex D are () A.(2,7 2) B.(2,−1 2) C.(3,2) D.(1,3)
- 14. Given points A (6,1), B (1,3) C (3,1), the projection of vector AB on vector BC is _____?
- 15. Given vector a=(2,1), vector b=(-8,6) (1) Given vector a=(-1,2), vector b=(1,-2), find the coordinates of vector a+vector b, vector a-vector b,2 vector a-3 vector b. (2) Given vector a=(2,1), vector b=(-8,6), vector c=(4,6), find 2 vector a+5 vector b-vector c, and express the vector with base vector i, j
- 16. If the vectors a and b are not collinear, a·b=0, and c=a-(a·a)/(a·b) b, what is the included angle between vectors a and c This equation can be directly calculated c=0 ah, why there is the assumption of c=0? Doesn't a.a.b/a.b equal a? A-a is equal to zero. Ask for answers! Thank you! If vectors a and b are not collinear, a·b=0, and c=a-(a·a)/(a·b) b, then what is the angle between vectors a and c This equation can be directly calculated c=0 ah, why there is the assumption of c=0? Doesn't a.a.b/a.b equal a? A-a is equal to zero. Ask for answers! Thank you!
- 17. Given vector a=(2,0), b is a nonzero vector, if the angle between a+b, a-b and the positive direction of x axis is (∏/6) and (2∏/3), then b=
- 18. In the spatial rectangular coordinate system O-xyz, the normal vector of the plane OAB is A =(2,-2,1), if P (-1,3,2) is known, then the distance from P to the plane OAB is equal to () A.4 B.2 C.3 D.1
- 19. What is the known vector |a|=2|, b|=3|a-2b|=5|a+2b|?
- 20. Given vectors a, b, and vectors AB=a-10b, BC=-5a+6b, CD=7a-2b, the three points of a certain collinear are Given vectors a, b, and vectors AB=a-10b, BC=-5a+6b, CD=7a-2b, the three points of certain collinearity are