Find the magnitude and direction of the vector represented by the following pairs of components: A_x = −8.60 cm, A_y = 5.20 cm

Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm long and is 60.0° below the x-axis in the fourth quadrant (Fig. E1.35). Use components to find the magnitude and direction of A - B In each case, sketch the vector addition or subtraction and show that your numerical answers are in qualitative agreement with your sketch.

In each case, find the x- and y- components of vector A: A = 11.2j - 9.91i

Given two vectors A = 4i + 7j and B = 5i - 2j, find the magnitude of each vector.

You are given two vectors A = -3i + 6j and B = 7i + 2j. Let Counterclockwise angles be positive. What angle does A make with the +x-axis?

Given two vectors A = -2i + 3j + 4k and B = 3.00î + 1.00ĵ − 3.00k, find the magnitude of each vector.

Find the scalar product of the vectors A and B given in Exercise 1.38.

Find the vector product A x B (expressed in unit vectors) of the two vectors given in Exercise 1.38. What is the magnitude of the vector product? Given two vectors A = 4.00 i + 7.00j and B = 5.00 i − 2.00

For the two vectors in Fig. E1.35, find the magnitude and direction of the vector product A x B

For the two vectors A and B in Fig. E1.39, find the scalar product A · B

For the two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ in the figure$1.39$, find the magnitude and direction of the vector product $\overrightarrow{A}\times \overrightarrow{B}$.