Questions asked by Freya_Coco

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• Using the relationship between the direction cosines of perpendicular lines in space, prove that, for lines l₁ and l₂, with the direction angles α₁, β₁, γ₁, and α₂, β₂, γ₂, cosα₁cosα₂ + cosβ₁cosβ₂ + cosγ₁cosγ₂ = 0 How could this be proven?
  
• A line in space has direction angles α= 120, β where 0≤β≤90, γ=45. If the line passes through the point (2,-1,5), give parametric equations for the line. How do you solve this?
  
• How would I solve for this variable so that the equation has no unique solution?
  
• How do I find the coordinates of S?
  
• How do I find the angle of AHC?
  
• How do I express α in terms of θ?
  
• How do I find the angle between the line and its reflection in a plane?
  
• How do I express λ in terms of μ?
  
• How many three digit numbers can be formed using only the numbers 1 to 7 if the number 2 must be included?
  
• In how many ways can four men and four women be seated around a circular table if each man must be flanked by two women?
  
• How do I find the sum of the terms of this sequence?
  
• How do I solve for the probability?
  
• How do I find the probability?
  
• How do I find the number of ways people can be seated on a bus?
  
• How do I find the two variables a and n?
  
• How many three letter arrangements of the word ALGORA are there?
  
• How many different words using all letters of ZOONOOZ can be formed if there are no O's together?
  
• How many numbers more than 1 000 000 can be formed from the digits 0, 1, 2, 3, 3, 3, 4?