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The constant 0 is multiplied by a non-zero vector equal to the zero vector, then the zero vector is multiplied by a non-zero vector equal to zero or zero vector
The product of vectors is a number, so it is zero
The number of projectiles in vector a=(3,2) in vector b=(-3,4) is
Using Formulas
The projection is a*b/|b|
A*b=3*(-3)+2*4=-1
|B (9+16)=5
Projection =-1/5
In △ABC, if (vector AB)•(vector BC)+(vector AB)^2=0, the shape of △ABC can be determined as ()? Right triangle
Easy,
Extract vector AB
Vector AB (vector BC + vector AB)=0
So vector AB is multiplied by vector AC =0
AB vertical AC~!
In △ABC, the point M is the midpoint of BC, the point N is on the edge AC, and AN=2AC, AM and BN intersect at P, find the value of AP: PM. In △ABC, the point M is the midpoint of BC, the point N is on the edge AC, and AN=2AC, AM and BN are intersected by P, the value of AP: PM is obtained.
Is the question wrong? AN=2AC? AN=2NC bar PA=XAM, PB=YBN PC+CA=PAPC+CB=PBPA-CA=PB-CBXAM-CA=YBN-CBX (AB+BM)-CA=Y (BA+AN)-CBX (AC+CB+1/2BC)-CA=Y (BC+CA+2AC/3)-CBX (AC-1/2BC)+AC=Y (BC-AC/3)+BC (X+1) AC-X/2BC=-Y/3AC+(Y...
(Available on all letter groups →) Given that OA and OB are two non-collinear vectors, let the vector OM=λOA OB, and =1,λ, R Verification: M, A and B are collinear (Available on all letter sets →) Given that OA and OB are two non-collinear vectors, let the vector OM=λOA OB, and =1,λ, R Verification: M, A and B are collinear
OM=λOA OB=(1-μ) OA OB
OM-OA=μ(OB-OA)
AM=μAB
So:
M, A and B are collinear.
It is proved that if any non-zero vector in P^n is the eigenvector of n-order matrix A in number field P, then A must be a quantity matrix.
Ae1=a1e1, Ae2= a2e2,...,Aen =anen, where a1,a2,...,an is the eigenvalue,e1,e2,...,en is n columns of the unit matrix, so there is AE=ED, where D is the diagonal element of the a1,a2,...,an diagonal matrix.
RELATED INFORMATIONS
- 1. If any n-dimensional nonzero vector is the eigenvector of n-order matrix A, then A is a quantitative matrix If any n-dimensional nonzero vector is the eigenvector of n-order matrix A, then A is a quantity matrix
- 2. True or False: Vector a=(1,1) and vector b=(t,-t) must be parallel to each other. True or False: vector a =(1,1) and vector b =(t,-t) must be parallel to each other.
- 3. Let α be n-dimensional column vector and E be n-order identity matrix. It is proved that A=E-2 T/( Tα) is an orthogonal matrix.
- 4. Excuse me: vector multiplied by a non-zero vector equal to the zero vector?
- 5. Given the points A (1,3), B (4,-1), then the vector The unit vector of AB in the same direction is ______. Given points A (1,3), B (4,-1), then the vector The unit vector of AB in the same direction is ______. Given the point A (1,3), B (4,-1), then the vector The unit vector of AB in the same direction is ______.
- 6. Is the addition of two vectors the addition of two vectors?
- 7. Is the zero vector in the same direction as the zero vector? Is the zero vector the same direction as any non-zero vector? Is the zero vector in the same direction as the zero vector? Is the zero vector the same as any non-zero vector?
- 8. Must two collinear vectors be the same or opposite? What if one of them is a zero vector?
- 9. The following propositions are true:1 The module of a vector is a positive real number 2 If two unit vectors are parallel to each other, the two unit vectors are equal... The following propositions are true:1 The module of a vector is a positive real number 2 If two unit vectors are parallel to each other then the two unit vectors are equal 3 If vector AB = vector CD then ABCD four points form a parallelogram The following propositions are true:1 The module of a vector is a positive real number 2 If two unit vectors are parallel to each other, then these two unit vectors are equal... The following propositions are true:1 The module of a vector is a positive real number 2 If two unit vectors are parallel to each other, then these two unit vectors are equal 3 If the vector AB = vector CD, then the ABCD four points form a parallelogram
- 10. If the vector a (1,1,0) is known, then the unit vector e is?
- 11. What is the modulus of a + b + c if the vectors a, b, c are two equal angles and the modulus of a is equal to 1, the modulus of b is equal to 1, the modulus of c is equal to 3? Just explain how it's equal to 2,5. What is the modulus of a + b + c if the two vectors a, b, c form equal angles and the modulus of a is equal to 1, the modulus of b is equal to 1, the modulus of c is equal to 3? Just explain how it's equal to 2,5.
- 12. What does vector multiplication equal to negative one mean?
- 13. Vector multiplication rule
- 14. Multiply two vectors Vector AC (a, b), Vector BC (c, d), AC·BC=?
- 15. If a is collinear with b, then there is a unique real number λ such that b=λa. Why is it wrong? (A, b are vectors)
- 16. If a=0, then vector b is collinear with a if and only if there is a unique real number λ, so that b=λa emphasizes the effect of a=0 If a =0, then the necessary and sufficient condition for the vector b to be collinear with a is that there is a unique real number λ, so that b =λa emphasizes the action of a =0
- 17. If e1, e2 are a set of bases representing all vectors in the plane, then the base (1) E1-e2 and 1/2e1+1/2e2(2)1/2e1-1/3e2 and 3e1-2e2(3) e1+1/3e2 and 3e1+e2
- 18. Vector a=(3, m), b=(-1,-4), and a, b are collinear, then the value of m is? At -4/3,-3/4 4/3 How about 3/4?
- 19. Given that a and b are both vectors _a_=10, the number of projectiles of b in the a direction is -3, multiply vector a by vector b It is bet to have a picture, Given that a and b are all vectors _a_=10, the number of projectiles of b in the a direction is -3, multiply vector a by vector b It is bet to have a picture, Given that a, b are all vectors _a_=10, the number of projectiles of b in the a direction is -3, multiply vector a by vector b It is bet to have a picture,
- 20. Is 0 multiplied by AB vector equal to 0?