![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
Square of (vector a×vector b)=? Vector a* absolute value of vector b Square of (vector a×vector b)=? Absolute value of vector a* vector b
R is the angle between two vectors, a×b=absinr
(A×b)^2= a^2*b^2*(sinr)^2
A. b=abcosr
|A.b|=ab|cosr|
Square of absolute value (vector a + vector b)+ square of absolute value (vector a-vector b)+2 times (square of absolute value of vector a + square of absolute value of vector b) How to construct a graph to explain the geometric meaning of the formula
Sum of squares of the diagonals of a parallelogram
Equal to the sum of the squares of the four edges
This can be proved. It's a theorem.
Forget about it. Or it's a rectangle.
It should be equal, not what you say
Sum of squares of the diagonals of a parallelogram
Is the sum of the squares of the four sides
This can be proved. It's a theorem.
Forget it, or it's a rectangle.
It should be equal, not what you say
If the absolute square of vector a is equal to one, and the absolute square of vector b is equal to 2,(a-b)⊥a, then the angle between a and b is?
Because (a-b) is perpendicular to a,(a-b)*a=0
A^2-ab=0
A^2-a*b*cos=0
It should be.
The module square of vector a is equal to one and the module square of vector b is equal to 2
Then modulus of a =1, modulus of b = root number 2
That is,1- root 2*cos=0
Cos = root 2
Then, the included angle of ab is 45°
Because (a-b) is perpendicular to a,(a-b)*a=0
A^2-ab=0
A^2-a*b*cos=0
It should be.
The module square of vector a is equal to one and the module square of vector b is equal to 2
Then modulus of a =1, modulus of b = root number 2
That is,1- root 2*cos=0
Cos =2
Then, the included angle of ab is 45°
If the vector a, b, c satisfies a+b+c=0 and a is vertical b, the absolute value a=1, the absolute value b=2, then the square of the absolute value c is equal to?
|C|^2=|-a-b|^2=|a+b|^2=|a|^2 b|^2+2ab=1^2+2^2+2*0=5
Is the absolute value of a+b less than or equal to the absolute value of a plus the absolute value of b a b vector pair
0
Given the nonzero vectors a, b, if a+2b is perpendicular to a-2b, then |a|/|b| equals
Because it is vertical,(a+2b)*(a-2b)=0, i.e. a-square-4b-square=0, a-square/b-square=4,|a|/|b|=root4=2
RELATED INFORMATIONS
- 1. Given a non-zero vector, ab is a parallel to b is a necessary fly sufficient equal to b why?
- 2. A number is added to itself, subtracted, divided. Their sum, difference, and quotient add up to 18.8. What is this number? A number is added to itself, subtracted, divided. Their sum, difference, quotient add result is 18.8, what is this number? A number is added, subtracted subtracted, divided. Their sum, difference, and quotient add up to 18.8. What is this number?
- 3. Linear Correlation of Discriminant Vector Group A1=(1 0 2 1) A2=(1 2 0 1) A3=(2 1 3 0) A4=(2 5 -1 4) A5=(1-1 3 -1)
- 4. A vector with a length of 1 unit is called a vector.
- 5. Vector a=3i-j-2k, b=i+2j-k, then (-2a) point times 3b= I'm Xiao Bai.
- 6. Vector a=(-1,3), b=(2, m), and a vertical (a-b) (1) Fact the value of m (2) When ka-b is parallel to a+b, fact the value of k
- 7. 0
- 8. Two with size and direction are called vectors. Two with size and no direction are called scalars. What is the length? What is the force? The blank line is short Two vectors with magnitude and direction are called vectors with magnitude and no direction are called scalars. What is the length? What is the force? Empty question line is very short
- 9. In a parallelogram, what process is the vector AB + vector CB-vector DC equal to
- 10. Point A (-3.2), point B (3.6), point C satisfies vector AC = vector CB, then vector AB is multiplied by vector AC =?
- 11. Given plane vector A =(1,2), B=(-1, m) if A⊥ B, then the real number m equals () A.2 B.1 2 C.-1 2 D.-2 Given plane vector A =(1,2), B=(-1, m), if A⊥ B, then the real number m equals () A.2 B.1 2 C.-1 2 D.-2
- 12. Given that the vector a, b satisfies the absolute value a =3, the absolute value b =4, and the angle between a and b is 120 degrees, how much is a multiplied by b Given that the vector a, b satisfies the absolute value a =3, the absolute value b =4, and the angle between a and b is 120 degrees, then what is a multiplied by b equal to Given that the vector a, b satisfies the absolute value a=3, the absolute value b=4, and the angle between a and b is 120 degrees, how much is a multiplied by b
- 13. It is proved that the necessary and sufficient condition for vector group B to be linearly represented by vector group A is that the rank of matrix A is equal to the rank of matrix (A, B
- 14. It is proved that the rank of the product of matrix A and transposed A' is equal to the rank of A, i.e. r (AA')=r (A).
- 15. The Difference Between the Rank of Vector Group and the Rank of Matrix
- 16. Given a, b, c, d are vectors, prove that (a×b)·(c×d)=(a·c)(b·d)-(a·d)(b·c)
- 17. Given |a|=2√13, b=(-2,3) and a⊥b, find the coordinates of vector a
- 18. Given that i, j is the unit vector in the positive direction of x, y axis, let vector a=(x-root number 3) i+yj, vector b=(x+root number 3) i+yj, and satisfy direction |a||b|=4 Finding the Trajectory Equation of Point P (x, y) Given that i, j are unit vectors in the positive direction of x and y axes, let vector a=(x-root number 3) i+yj, vector b=(x+root number 3) i+yj, and satisfy direction |a||b|=4 Finding the Trajectory Equation of Point P (x, y)
- 19. Given vector a=(-1, root number three), try to find the unit vector n with an angle of 45 degrees of vector a Given the vector a=(-1, root number three), try to find the unit vector n with an angle of 45 degrees between the sum vector a
- 20. A Simple Calculation Using Vector Product → → → → → → → → May I ask why you (a-2b)(2a+b)=2a (^2)-2b (^2)-3a·b (^2) It means square. Thank you, little sister! Using Vector Product to Calculate Simply → → → → → → → → May I ask why the experts (A-2B)(2A+B)=2A (^2)-2B (^2)-3A·B (^2) It means square. Thank you, little sister!