Question

- 67 degrees

- AxBx+AyBy+AzBz=|A||B|cosø (=A•B)
- to find A and B, use Pythagorean theorem from given component values
- solve for theta

Answer 1

To find the vectors A and B using the given equation, we need to use the Pythagorean theorem and solve for the magnitude of A and B.

Step-by-step explanation:

To find the vectors A and B using the given equation, we need to use the Pythagorean theorem and solve for the magnitude of A and B. The equation |A||B|cosø = AxBx+AyBy+AzBz can be rewritten as A•B = AxBx+AyBy+AzBz. From this equation, we can find the components Ax, Ay, Bx, and By using the information given.

Once we have the components, we can use the Pythagorean theorem to find the magnitude of A and B. The Pythagorean theorem states that the magnitude of a vector is the square root of the sum of the squares of its components. So, for vector A, we have |A| = sqrt(Ax^2 + Ay^2 + Az^2), and for vector B, we have |B| = sqrt(Bx^2 + By^2 + Bz^2).

Finally, to find the angle ø between A and B, we can use the inverse cosine function to solve for ø. ø = cos^(-1)((A•B) / (|A||B|)).