Please refer to the following vectors: A = 6i + 2j - 3k B = 3i - j - 2k C = -i + j - 4k D = j - 3k E = -i + 2k F = -5k G = 2i H = -3j I = -4i +4j  Two airplanes started drifting away from the origin along the directions of displacement vectors {B} km  and {E} km respectively. If vectors B and E are their position vectors in rectangular coordinate system after some time t, what will be their separation distance in kilometers?

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.63P: Let A and B be two nonparallel vectors that lie in a common plane S. If C=A(AB), which of the...
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1. Please refer to the following vectors:

A = 6i + 2j - 3k
B = 3i - j - 2k
C = -i + j - 4k
D = j - 3k
E = -i + 2k
F = -5k
G = 2i
H = -3j
I = -4i +4j 

Two airplanes started drifting away from the origin along the directions of displacement vectors {B} km  and {E} km respectively. If vectors B and E are their position vectors in rectangular coordinate system after some time t, what will be their separation distance in kilometers? 

2. A ball is speeding up along a circular track. What can be said about the velocity and acceleration vectors on the body?

3. In an intersection, a bus moving at (100i) m/s and a truck moving at (200j) m/s collided with each other. Assuming that the two objects have the same mass, what would be their final speed together?

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