Question

2. Find the vector A directed from (2, -4, 1) to (0, -2, 0) in Cartesian coordinates and find the unit vector along A. 3. Find the distance between (5, 3$\pi$/2, 0) and (5, $\pi$/2, 10) in cylindrical coordinates. 4. Given A = 2$a_x$ + 4$a_y$, and B = 6$a_y$ - 4$a_z$, find the smaller angle between them using (a) the cross product, (b) the dot product.

          2.
Find the vector A directed from (2, -4, 1) to (0, -2, 0) in Cartesian coordinates and find the unit
vector along A.
3.
Find the distance between (5, 3$\pi$/2, 0) and (5, $\pi$/2, 10) in cylindrical coordinates.
4.
Given A = 2$a_x$ + 4$a_y$, and B = 6$a_y$ - 4$a_z$, find the smaller angle between them using (a) the cross
product, (b) the dot product.

2.
Find the vector A directed from (2, -4, 1) to (0, -2, 0) in Cartesian coordinates and find the unit
vector along A.
3.
Find the distance between (5, 3π/2, 0) and (5, π/2, 10) in cylindrical coordinates.
4.
Given A = 2ax + 4ay, and B = 6ay - 4az, find the smaller angle between them using (a) the cross
product, (b) the dot product.

Added by Diana B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Aman Kumar

Step 1

Finding the vector A directed from (2,4,1) to (0,2,0) in Cartesian coordinates: To find the vector A, we subtract the coordinates of the initial point from the coordinates of the final point: A = (0,2,0) - (2,4,1) = (-2,-2,-1) Show more…

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Find the vector A directed from (2,4,1) to (0,2,0) in Cartesian coordinates and find the unit vector along A. Find the distance between (5,3/2,0) and (5,0,2) in cylindrical coordinates. Calculate the cross product of two vectors and the dot product.