How do you prove 3d vectors are collinear?

How do you prove 3d vectors are collinear? Three points with position vectors a, b and c are collinear if and only if the vectors (a−b) and (a−c) are parallel. In other words, to prove collinearity, we would need to show (a−b)=k(a−c) for some constant k. What is an example of a collinear? Three or […]

What is the advantage of Graphs over tables?

What is the advantage of Graphs over tables? According to Stephen Few, graphs reveal more than a collection of individual values. Because of their visual nature, they show the overall shape of your data. This is when you should use graphs instead of tables: The message is contained in the shape of the values (e.g. […]

Can you move a pencil with your mind?

Can you move a pencil with your mind? The trick: Have your hands hovering about 20cm above the pencil. Make a big show of using your ‘mind power’ to move the pencil, make it seem difficult at first. Then softly blow on the pencil (so softly and without making a ‘blowing face’ – do it […]

How much would a ticket to Mars cost?

How much would a ticket to Mars cost? Musk focuses on affordability as a major factor to ensuring the possibility of Mars colonization. He says “You cannot create a self-sustaining civilization if the ticket price is $10 billion per person.” He believes that the cost should be about $200,000; equivalent to the median price of […]

Does Dyno tuning make a difference?

Does Dyno tuning make a difference? A dyno tune commonly provides for maximum power, better drivability, good fuel economy and a smoother ride. It increases the horse power of your vehicle and returns the vehicle to stock fuel economy. It also prevents or minimizes backfire. Dyno tuning can also save you from costly repairs in […]

Is centrifugal a real force?

Is centrifugal a real force? The centrifugal force is very real if you are in a rotating reference frame. However, the centrifugal force is an inertial force, meaning that it is caused by the motion of the frame of reference itself and not by any external force. What causes centripetal forces? Centripetal forces cause centripetal […]

What makes a team strong?

What makes a team strong? A combination of solid leadership, communication, and access to good resources contribute to productive collaboration, but it all comes down to having people who understand each other and work well together. Not every team needs that one superstar player to excel. What are team weaknesses? Traits like a lack of […]

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