Calculate the scalar product of the following vectors.
The vector b, which is collinear with the vector $a = {8, - 10, 13},$ makes an acute angle with the Oz axis. Being given that $| b | = \sqrt{37},$ find its coordinates. In the answer write the sum of the coordinates of the vector b accurate to within 0.01.

Question

Q. Calculate the scalar product of the following vectors.
The vector x satisfies the following conditions: (a) x is collinear with the vector

a = 6 i - 8 j - 7.5 k; (b) x

makes an acute angle with the

O z a x i s; (c) | x | = 50.

Find the coordinates of the vector x.

Answer 1

b = 8 / 3, - 10 / 3, 13 / 3, 3.66.....

Calculate the scalar product of the following vectors.The vector b, which is collinear with the vector a={8,−10,13}, makes an acute angle with the Oz axis. Being given that |b|=√37, find its coordinates. In the answer write the sum of the coordinates of the vector b accurate to within 0.01.