The angle between vector A = 2.00i + 3.00j and vector B is 45.0°. The scalar product of vectors A 12) and B is 7.00. If the x-component of vector B is positive, what is vector B

B = 2.67i - 0.53j

Explanation:

In order to find the vector B, you first take into account the following formula:

        (1)

where:

A = 2.00i + 3.00j

B = ?

θ: angle between vectors A and B = 45.0°

You use the fact that the dot product between vectors A and B is 7.00.

You calculate the magnitude of A vector as follow:

Then, you solve the equation (1) for the magnitude of B:

Next, you can consider that the A vector is the x axis of the coordinate system, to calculate the components of B. This means that the coordinate system is rotated an angle equivalent to the angle of A respect to the x axis.

With the previous assumption you have that the components of B are:

The vector B is:

B = 1.93i + 1.93j

Next, it is necessary to rotate again the coordinate system to its original position. For that, you calculate the angle of A:

In order to calculate the real components of B, you rotate the system 56.30°, by using the following relation:

The vector B is:

B = 2.67i - 0.53j

answer: i'm not sure which is which for i get confused on it all the time but i can tell you that the answer lies with the convex and concave devices. i hope this you. have a good day and best of luck to you!

explanation:

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees.