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Two planes have eqns r.(3i – 4j + 2k) = 5 and r = λ (2i + j + 5k) + μ(i – j – 2k), where λ and μ are scalar parameters. Find the acute angle between the planes, giving your answer to the nearest degree.

Summary of solution: To find the angle between the planes, we must find the normal vector to each plane and then use the scalar product to find the angle between these two normal vectors. Breaking this down ...
DC
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To what extent did the collapse of the League of Nations cause WW2?

It is important to emphasize there were myriad causal factors to World War Two, which began in September 1939 when Hitler invaded Poland. The collapse of the League of Nations was arguably a leading factor, ...
KS
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Find the points that the graph "y = x^2 -4x -14" touches the x-axis

(2+3√2, 0) and (2-3√2, 0)
TC
Answered by Thomas C. • Maths tutor
3724 Views

How do organisms adapt?

Organisms do not adapt much over their lives, but in a large population there will be many different individuals. Some taller, some shorter, some may have a longer beak or a slightly different colour pattern...
TK
Answered by Tomas K. • Biology tutor
3149 Views

What does a mitochondria do?

They are the energy producing organelle. In the motochondria, glucose is converted into energy.
TK
Answered by Tomas K. • Biology tutor
4108 Views