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Multiply two vectors Vector AC (a, b), Vector BC (c, d), AC·BC=?
AC·BC=ac+bd
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What is the multiplication of two vectors /PF1/·/PF2/ What is it? There's a hyperbola you' re learning now. What's this multiplication? Or not multiplication! What does it mean?
/PF1/·/PF2/ is not the multiplication of two vectors, is the multiplication of two vectors, the result is a number.
The module of a vector is the length of the vector.
On the Multiplication of Two Vectors See two formulas.. One is ABcosc CA and CB are opposite sides b and a of ∠B and ∠A of triangle, and angle C is the included angle of vector CA and CB, which is defined by the product of the number product of vector CA, CB = length of CA (i.e. b) and projection of CB vector in CA direction (i.e. a.CosC). The other is ABsinC. Definition: The vector product (outer product, cross product) of two vectors a and b is a vector, denoted as a×b (here is not a multiplication sign, but a representation, which is different from "·", and can also be denoted as "∧"). If a and b are not collinear, then the module of a×b is: a×b =|a b sin〈a, b〉; the direction of a×b is perpendicular to a and b, and a, b and a×b form the right-hand system in this order. If a and b are collinear, then a×b=0. What's the difference between the two...
The first is the inner product. Multiplication is a number, not a vector.
The second multiplication is also a vector.
What is the formula for multiplying two vectors?
A vector (A, B) B vector (C, D) A vector * B vector = AC+BD
What is the vector multiplied by the vector
The direct multiplication should be the multiplication of the matrix. The row vector should be multiplied by the column vector. The inner product should be a real number. The column vector should be multiplied by the row vector to form a matrix. The element is the element of the original vector.
If you multiply by a point, you get the inner product is a real number
If the difference is multiplied, the outer product is a vector perpendicular to the plane of the original vector (right-hand rule)
The direct multiplication should be the multiplication of the matrix. The row vector should be multiplied by the column vector. The inner product should be a real number. The column vector should be multiplied by the row vector to form a matrix. The element is the element of the original vector.
If you multiply by a point, you get that the inner product is a real number
If the difference is multiplied, the outer product is a vector perpendicular to the plane of the original vector (right-hand rule)
The direct multiplication should be the multiplication of the matrix. The row vector should be multiplied by the column vector. The inner product should be a real number. The column vector should be multiplied by the row vector to form a matrix. The element is the element of the original vector.
If you multiply by a point, you get that the inner product is a real number.
If the difference is multiplied, the outer product is a vector perpendicular to the plane of the original vector (right-hand rule)
ON THE GEOMETRIC SIGNIFICANCE OF Vectors Why does the geometric meaning of the multiplication of two vectors mean that the projection of a vector on the other vector is multiplied by the other vector
This is a very basic and simple question, and what LZ says is multiplicative:
Pointwise multiplication, also called the inner product and the quantity product of a vector. As the name implies, the result obtained is a number. Vector a. Vector b=|a||b|cos. In physics, given the force and displacement to work, is actually to find the inner product of vector F and vector s, that is, to use pointwise multiplication.
Dot multiplication is defined as vector a·vector b=|a||b|cos
Then it is obvious that the projection of a vector on the other vector is multiplied by the other vector.
In addition to cross multiplication, interested can refer to relevant materials.
RELATED INFORMATIONS
- 1. Vector multiplication rule
- 2. What does vector multiplication equal to negative one mean?
- 3. 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.
- 4. 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
- 5. 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
- 6. 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.
- 7. 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.
- 8. Excuse me: vector multiplied by a non-zero vector equal to the zero vector?
- 9. 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 ______.
- 10. Is the addition of two vectors the addition of two vectors?
- 11. 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)
- 12. 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
- 13. 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
- 14. 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?
- 15. 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,
- 16. Is 0 multiplied by AB vector equal to 0?
- 17. Given the vector OA=(3,-4) OB=(6,-3) OC=(5-m,-3-m)(1) If AB C is three points collinear, then the value of m Given the vector OA=(3,-4) OB=(6,-3) OC=(5-m,-3-m)(1) If AB C is three points collinear, the value of the number m
- 18. If vector A =(3, m), B =(2,-1), and A vs. B is collinear, then the value of the real number m is () A.−3 2 B.3 2 C.2 D.6 If vector A =(3, m), B =(2,-1), and A and B is collinear, then the value of the real number m is () A.−3 2 B.3 2 C.2 D.6
- 19. In triangle ABC, absolute value of AC vector =10, absolute value of AD vector =5, AD vector =5/11DB vector, CD vector * AB vector =0(1) find (AB vector - AC Vector)
- 20. Given the module of vector a=10, vector b=(3,4) and vector a//b, find vector a