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Calculus question

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Q1) A, B and C are points with position vectors a=(1,−1,−1),b=(−2,1,−1) and c=(0,0,2). 

a) Compute ∣a∣, ∣b∣ and ∣c∣ 

is lal √1^2 + (-1)^2 + (-1)^2  and so on

 

b) Is a−b orthogonal to c? 

What does this mean? Just perpendicular? 


c) Find the following angles (in radians): AOB and BOC

asked Jul 24, 2014 in CALCULUS by zoe Apprentice

2 Answers

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Best answer

c) Angles AOB and BOC

Compute the angle by using following formula

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Angle AOB

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Angle BOC

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answered Jul 24, 2014 by david Expert
selected Jul 24, 2014 by zoe
0 votes

a) Compute the magnitudes.

a < 1, -1, -1 >

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b = < -2, 1, -1 >

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c = < 0, 0, 2 >

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b) If a and b are vectors whose dot product is zero are said to be orthogonal.

Orthogonal  means perpendicular

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Therefore, a-b orthogonal to c.

answered Jul 24, 2014 by david Expert

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