Avector is given by vector r = 2.10 i hat + 1.80 j + 3.03 k. (a) find the magnitudes of the x, y, and z components. x = 2.1 correct: your answer is correct. y = 1.8 correct: your answer is correct. z = 3.03 correct: your answer is correct. (b) find the magnitude of vector r. 4.102 correct: your answer is correct. (c) find the angle between vector r and the x axis. 58.99 correct: your answer is correct. ° find the angle between vector r and the y axis. 49.398 incorrect: your answer is incorrect. your response differs from the correct answer by more than 10%. double check your calculations.° find the angle between vector r and the z axis.

part (a)  x-component = 2.1

              y-component = 1.8

              z-component = 3.03

part (b) R = 4.102

part (c) Angle between R and x-axis =

            Angle between R and y-axis =

            Angle between R and z-axis =

Explanation:

Given,

part (a)

Let any vector is represented by with (xi\ +\ yj\ +\ zk}

By comparing with the the above represented vector, we get,

x-component of  R = x = 2.10

y-component of R = y = 1.80

z-component of R = z = 3.03

part (b)

The resultant of the

part (c)

From the dot product between the two vectors

Where \theta be the angel between the two vectors

Case - 1

be the angle between the vector R and x- axis

From the dot product,

Case - 2

be the angle between the vector R and y- axis

From the dot product,

Case - 4

be the angle between the vector R and z- axis

From the dot product,