In right triangle ABC, if vector A B =(1, k), vector AC =(2,1), and angle C is equal to ninety degrees, then the value of k

In right triangle ABC, if vector A B =(1, k), vector AC =(2,1), and angle C is equal to ninety degrees, then the value of k

Vector BC=AC-AB=(1,1-K),
Angle C is equal to ninety degrees,
0=AC*BC=2+1-k=3-k,
K=3.

What is the modulus of a non-zero vector ratio? What is the modulus of a nonzero vector ratio?

The unit vector in the same direction as the original vector

What is the sufficient condition that the modulus of a over a is equal to the modulus of b over b, and b is a nonzero vector What is the sufficient condition that the module of a over a is equal to the module of b over b, and b is a nonzero vector

A vector is collinear with b vector and has the same direction

A-vector and b-vector are collinear and in the same direction

If the modulus of the non-zero vector a+b is equal to the modulus of b, then the relationship between the modulus of 2a and 2a+b is

The former is greater than the latter

Is a zero vector multiplied by a number equal to the zero vector

Yes, a vector multiplies any real number by a vector.

Is the zero vector equal to the zero vector?

A vector equality means that the magnitude and direction of two vectors are equal. A zero vector is a vector with a magnitude of zero, and its direction can be arbitrary.