Question

Ұзындығы 2 см болатын р векторын сызындар.Сызғышты пайдаланып, 3р,-2р векторлары салындар

Answer 1

3р=3•2=6
-2р=(-2)•2=-4

Answer 2

Finding the Length of a Vector

To find the length of a vector, we can use the formula for the magnitude or Euclidean norm of a vector. For a vector r with components (x, y, z), the magnitude is given by:

|r| = sqrt(x^2 + y^2 + z^2)

In this case, we are given two vectors with a length of 2 cm. Let's calculate the components of these vectors and find their lengths.

Vector 1: r1

Let's assume that vector r1 has components (x1, y1, z1). Since the length of r1 is 2 cm, we can set up the following equation:

sqrt(x1^2 + y1^2 + z1^2) = 2

We can solve this equation to find the possible values of x1, y1, and z1.

Vector 2: r2

Similarly, let's assume that vector r2 has components (x2, y2, z2). Since the length of r2 is also 2 cm, we can set up the following equation:

sqrt(x2^2 + y2^2 + z2^2) = 2

We can solve this equation to find the possible values of x2, y2, and z2.

Calculating the Components of Vector 3: r3

We are given two vectors, 3r and -2r. To find the components of vector r3, we need to multiply the components of r by the scalar values.

Let's assume that vector r has components (x, y, z). Then, the components of 3r would be (3x, 3y, 3z), and the components of -2r would be (-2x, -2y, -2z).

Therefore, the components of vector r3 would be the sum of the components of 3r and -2r:

r3 = (3x - 2x, 3y - 2y, 3z - 2z) = (x, y, z)

So, the components of vector r3 are the same as the components of vector r.

Conclusion

In summary, to find the components of the vectors with a length of 2 cm, we need to solve the equations sqrt(x1^2 + y1^2 + z1^2) = 2 and sqrt(x2^2 + y2^2 + z2^2) = 2. The components of vector r3 are the same as the components of vector r.