Vector a=(2,4), vector b=(1,1), vector b⊥(vector a+n vector b), then n=?

Vector a=(2,4), vector b=(1,1), vector b⊥(vector a+n vector b), then n=?

Vector a+n Vector b
=(2+N,4+n)
Vector b⊥(vector a+n vector b)
∴
Vector b·(vector a+n vector b)=0
=(1,1)·(2+N,4+n)=0
=2+N+4+n=0
2N=-6
N=-3

The vector a=(1,1) b=(2, n)|a+b|=a+bn=?

Vector addition is a vector, the absolute value of vector addition is a numerical value,|a+b|=a+b, how can it be equal?

Let α be n-dimensional column vector, A be n-order orthogonal matrix, then || A α||=||α||

Because A is an orthogonal matrix of order n, A' A = E
||A =√(Aα, Aα)=√(Aα)'(Aα)=' A'Aα=' E α=√α'α=||α||

If that two zero vector are collinear, Are two zero vectors collinear Are two zero vectors parallel Are the two zero vectors vertical A little high school kid was confused by this question Why did my math teacher say they weren't parallel

The first two zero vectors are the same, and it is clearly stated in the textbook that the name zero vector is parallel to any vector. The first holds. The third proof: Let vector a=0, vector b=0(b is an arbitrary vector), c=0, and b⊥c Because the zero vector is parallel to any vector, so a‖c, b⊥c, a⊥b.

The first two zero vectors are the same, and it is clearly stated in the textbook that the name zero vector is parallel to any vector. The first second holds. The third proof: Let vector a=0, vector b=0(b is any vector), c=0, and b⊥c Because the zero vector is parallel to any vector, a‖c, b⊥c, a⊥b.

The first two zero vectors are the same, and it is clearly stated in the textbook that the name zero vector is parallel to any vector. The first second holds. The third proof: Let vector a=0, vector b=0(b is any vector), c=0, and b⊥c Because the zero vector is parallel to any vector, so a‖c, b⊥c, a⊥b.

Write the product of vector a (2,3) and vector b (3,4). Tell me more. I'd better tell you something similar. I' ll adopt it in time. What is the product of vector a (2,3) and vector b (3,4)? Tell me more. I'd better tell you something similar. I' ll adopt it in time.

Vector to vector is not called "product ", it is called quantity product, or" dot product "
For example, a·b is called the number product of a and b or a point times b
If vector a=(x1, y1), vector b=(x2, y2)
A·b=x1x2+y1y2=|a||b|cosθ(θ is a, b angle)
You mean a =(2,3) b =(3,4)
A·b=18

Known| A|=3,| B |=5, and A• B=12, then vector A In vector The projection on b is ___.

∵|

A|=3,|

B |=5, and

A•

B=12,
Vector

A In vector

Projection on b =

A•

B
|

B |=12
5,
Therefore, the answer is:12
5.