Given vector a=(sinθ,-2) and b=(1, cosθ) perpendicular to each other, where (0,π,2),[1] find the values of sinθ and cosθ

Given vector a=(sinθ,-2) and b=(1, cosθ) perpendicular to each other, where (0,π,2),[1] find the values of sinθ and cosθ

Sinθ-2cosθ=0, so tanθ=2>0, so the angle is acute
And the square of sinθ+ the square of cosθ=1
Sinθ=(2 Nos.5)/5 for solving the equations
Cos θ=(root 5)/5

Sinθ-2cosθ=0, so tanθ=2>0, so the angle is acute
And the square of sinθ+ the square of cosθ=1
To solve the equation system, sinθ=(2 nos.5)/5
Cos θ=(root 5)/5

A, b are two non-zero vectors, and the equivalent condition that a is perpendicular to b is |a+b|=|a-b|

(1) If |a+b|=|a-b|a is perpendicular to b, ab=0(a+b)^2=a^2+b^2+2+2ab=a^2+b^2-2ab=(a-b)^2,|a+b|=|a-b|(2) If |a+b|=|a-b|a is perpendicular to b|a+b|,(a+b)^2=(a-b)^2, ab=0, i.e. a is perpendicular to b...

Vector operation! Urgent Vector Pn (n-1,2n-1) Vector Pn+1(n,2n+1) | PnPn+1|=? Vector operation! Urgent Vector Pn (n-1,2n-1) Vector Pn+1(n,2n+1), please | PnPn+1|=? Vector operation! Urgent Vector Pn (n-1,2n-1) Vector Pn+1(n,2n+1), please |PnPn+1|=?

N-(n-1)=1
(2N+1)-(2n-1)=2
PnPn+1=(1,2)
| PnPn+1|= Root 5

Calculation of vectors [Urgent! ] If a vector is 1b vector is 2, c=a+b, and c is perpendicular to a, then the angle between vector a and b is? This is a meeting test, and I'm stuck ==

Draw a right triangle at 120°. Where a, c are the straight edges and b is the oblique edges. it according to the direction of the target.

Draw a right triangle at 120°, where a and c are straight and b is oblique. Then you can see it according to the direction of the target.

Some Basic Problems of Vector Operation Does the addition and subtraction between vectors meet the format of AB+BC=AC? For example, can the addition of CA+CB be calculated? Similarly, can subtraction only satisfy the format of OA-OB=BA? That's not a lot of questions to do. Some Basic Problems of Vector Operation Does the addition and subtraction between vectors meet the format of AB+BC=AC? For example, can the addition of CA+CB be calculated? Can subtraction only satisfy the format OA-OB=BA? That's not a lot of questions to do. Some Basic Problems of Vector Operation Does the addition and subtraction between vectors satisfy the format of AB+BC=AC? For example, can the addition of CA+CB be calculated? Can subtraction only satisfy the format OA-OB=BA? That's not a lot of questions to do.

AB+BC=AC is called triangle formula. Remember that any two vectors can be added or subtracted. There is triangle rule and parallel quadrilateral rule on the geometry, but if you only give a few points, such as O, A, B, C and some vectors between them to operate, the operation result may not be in these several...

AB+BC=AC is called triangle formula. Remember that any two vectors can be added or subtracted. There is triangle rule and parallel quadrilateral rule on the geometry, but if you only give a few points, such as O, A, B, C and some vectors between them, the result of the operation may not still be in these several...

AB+BC=AC is called triangle formula. Remember that any two vectors can be added or subtracted. There is triangle rule and parallel quadrilateral rule on the geometry. But if you only give a few points, such as O, A, B, C and some vectors between them, the result of the operation may not still be in these several...

How to calculate the angle between two vectors?

Cos=a▪b/|a|.|b|