If A = (12i - 16j) and B = (-24i+10j), what is the magnitude of the vector C=(2A-B)?

Answers:
a) 42
b) 22
c) 64
d) 90

An archer shoots an arrow with a velocity of 45 m/s at an angle of 50 degrees with the horizontal. What is the height of the arrow at a point 150 meters downrange?

Answers:
a) 4.7 m
b) 47.0 m
c) 5.6 m
d) 56.0 m

Thank you.

Solution Summary

This solution is provided in 124 words in an attached .doc file. It uses simple calculation to find the magnitude of a vector and uses a diagram to as well as calculations to find height.

The eastward component of vector A is equal to the westward component of vector B and their northward components are equal. Which one of the following statements is correct for these two vectors?
Choices:
Vector A is parallel to vector B
Vector A is anti-parallel to vector B
The magnitude of vector A is equal to the mag

If Displacement vector A points due east and has a magnitude of 2.00 km. Displacement vector B points due north and has a magnitude of 3.75 km. Displacement vector C points due west and has a magnitude of 2.50 km. Displacement vector D points due south and has a magnitude of 3.00 km. How can I find the magnitudeand direction (

Vector A is 3.00 units in length and points along the positive x-axis. Vector B is 4.00 units in length and points along the negative y-axis. Use the graphical methods to find the magnitudeand direction of the following vector:
B.) B-A

In the figure (please see the attachment), a 0.420 kg ball is shot directly upward at initial speed 37.5 m/s. What is its angular momentum about P, 2.20 m horizontally from the launch point, when the ball is at the following heights?
i) at max height, ii) when it is halfway to the ground.
Also find the torque on the ball

NOTE: in part A, the traction is just the integral of the dot product of T and n.
7 0 -2
The stress at point P = 0 5 0
-2 0 4
I want to know the traction vector on the plane at point P with the unit normal n = (2i1, -2i2, 1i3)/3

Find the magnitudeand direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°].
(√2,-1)
Which one is the correct answer?
√3; 305.3
3; 324.7
√3; 324.7
3; 125.3

So here is the question
Let A= {10, 30°} be a vector of magnitude 10 ( in some units) and pointing in a direction of 30°counter-clockwise from positive x.
Let B = { 7, 225°degree}
Find x and Y componens of these two vectors
A { AX= AY=
B { Bx= BY=
Find x and y components of the sum S= A+B
S= { Sx=
S

A proton moving in a uniform magnetic field with
v1 = 1.19 * 10^6 i [hat] m/s experiences forces
F1 = 1.49 * 10^-16 k [hat] N. A Second proton with
v2 = 2.12 * 10^6 j [hat] m/s experiences
F2 = -3.85 * 10^-16 k [hat] N in the same field
What is the magnitude of B?
B=__________mT
What is the direction of B [vector]? G