![](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>)
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.
Ia+b+cI2=a2+b2+c2+2ab+2bc+2ca (1) When a, b, c are equal to 0°, Ia+b+cI2=a2+b2+c2+2ab+2bc+2ca=1+1+9+2+6+6=25 Ia+b+cI=5(2) When a, b, c are equal to 0°,
Ia+b+cI2=a2+b2+c2+2ab+2bc+2ca (1) When a, b, c are equal to 0°, Ia+b+cI2=a2+b2+c2+2ab+2bc+2ca=1+1+9+2+6+6=25 Ia+b+cI=5(2) when a, b, c are equal to 0°.
Ia+b+cI2=a2+b2+c2+2ab+2bc+2ca (1) When the angles formed by a, b and c are equal to 0°, Ia+b+cI2=a2+b2+c2+2ab+2bc+2ca=1+1+9+2+6+6=25 Ia+b+cI=5(2) When a, b by a, b and c are equal to 0°.
Is equal to the angle of the vector a=(7,1), b=(1,-7). What happens when the module is a vector of 1 Is equal to the angle of vectors a=(7,1), b=(1,-7). What happens when the module is a vector of 1
Let c=(x, y) and vector a=(7,1), b=(1,-7) be equal, and the modulus is 1. Then x2+y2=1(1) is obtained by cos=ac/|a||c|, cos=bc/|b||c|, and |c|=1 as ac/|a|=bc/|b|and |a|=|b|=2√5, so ac=bc is (a-b) c=0 and 6x+8y=0(...
Are the norm of the opposite vector equal? Are the moduli of the opposite equal?
The modules of the opposite vector (i.e. the length of the vector) are equal
Find the vector whose angle is equal to the vector a=(7/2,1/2), b=(1/2,7/2) and whose modulus length is 1 Let c=(m, n), |C |=√(m^2+n^2)=1, Set the angle between vectors a and c as θ Cosθ=a·c/(|a||c|=(7m/2+n/2)/[√(49/4+1/4)*1]=√2(7m/2+n/2)/5, Cosθ=b·c (/|b||c|)=(m/2+7n/2)/√[(1/4+49/4)*1]=√2(m/2+7n/2)/5, √2(7M/2+n/2)/5=√2(m/2+7n/2)/5, M=n, M^2+n^2=1, M=2/2, N=2/2, M, n shall be the same number Then vector c=(√2/2,√2/2), c=(-√2/2,-√2/2), I can't understand the last step. Why should m, n be the same?
Because m=n, it should be the same number.
It's recommended that you understand this and do it after m=n so you do n' t get confused
M^2+n^2=1,
2M^2=1,
M=2/2
N=m=√2/2 or n=m=-√2/2
Therefore, vector c=(√2/2,√2/2), c=(-√2/2,-√2/2),
If |a|=2,|b|=3,|a-b|=√7, what is the angle between vector a and b
|A-b|2=|a|2 b|2-2|a||b|cos@
=4+9-2*2*3Cos@
=(√7)²
Cos@=1/2
@=60° Or write π/3
Step are simple,
|A-b|2=|a|2 b|2-2|a||b|cos@
=4+9-2*2*3Cos@
=(√7)²
Cos@=1/2
@=60° Or written as π/3
Step are simple,
Known vector A =(2,3), B=(-1,2) if m A+n B and A-2 B collinear, then m N equals () A.-1 2 B.1 2 C.-2 D.2
M
A+n
B=(2m-n,3m+2n),
A-2
B=(4,-1), m
A+n
B and
A-2
B collinear,
(2M-n)(-1)-4(3m+2n)=0,-14m=7n, then m
N=-1
2,
Therefore, A.
RELATED INFORMATIONS
- 1. 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
- 2. 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
- 3. 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.
- 4. 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.
- 5. Excuse me: vector multiplied by a non-zero vector equal to the zero vector?
- 6. 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 ______.
- 7. Is the addition of two vectors the addition of two vectors?
- 8. 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?
- 9. Must two collinear vectors be the same or opposite? What if one of them is a zero vector?
- 10. 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
- 11. What does vector multiplication equal to negative one mean?
- 12. Vector multiplication rule
- 13. Multiply two vectors Vector AC (a, b), Vector BC (c, d), AC·BC=?
- 14. 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)
- 15. 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
- 16. 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
- 17. 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?
- 18. 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,
- 19. Is 0 multiplied by AB vector equal to 0?
- 20. 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