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PDF Editor FAQ

What are normal high school classes in order of grade?

Canada, BCWe have 5 years of High School and no Middle School.Grade 8:All Courses MandatoryEnglish 8French 8Math 8Science 8Physical Education 8 (girls/boys)Social Studies 8Elective Rotation (Home Economics/ Business Education/Woodworking/ Health and Careers: Rotate each semester)Fine Art Elective (Choice between Visual Arts, 3D Arts, Drama, Band, Choir, Strings, Graphics etc)Grade 9:French no longer mandatory, the last 3 are not actually mandatory but you are pressured to do so.English 9Math 9Social Studies 9Science 9PE 9Language Course 9 (any that your school offers)Fine Art 9 (as listed above)Elective (anything you want but typically [Foods/ Textiles/ Business Education/ Woodworking/ Information Technology)Grade 10:No more pressure, but the courses are required for graduation.English 10Math 10PE 10SS 10Science 10Planning 10Elective (anything you want but a language if you want to graduate)Elective (anything you want but a fine art if you want to graduate)Grade 11Free Blocks now permitted but not encouraged.English 11Choose two from the 3 senior Science courses (Biology/ Chemistry/ Physics)As aboveMath (Pre-Calculus 11/ Workplace and Apprenticeship Math)Elective (but you need a language)Elective (but you need a SS 11 or 12: choice between History, Social Studies 11, Social Studies 12 )Elective (New choices: Literature, Writing, Earth Science, Senior SS Courses as seen above, Weight Training, Economics, Psychology, Accounting, etc depending on school)ElectiveStudents will typically take AP courses outside of schoolGrade 12:Electives can be free blocks if you want.English 12Elective (your school will now allow you to take AP courses at school)Elective (many people choose to take a Service block)ElectiveElectiveElectiveElectiveElective

What is the sine angle between vector I + 2j + 3k and 3i+ 2j+k?

Let vector A = i + 2 j + 3 kand vector B = 3 i + 2 j + kA . B = 3 + 4 + 3 = 10| A | = [ 1² + 2² + 3²]½ = [ 1 + 4 + 9]½ = (14)½| B | = [ 3² + 2² + 1²]½ =[ 9 + 4 + 1]½ = (14)½NowA . B = | A | × | B | Cos ß = 10=> (14)½ × (14)½ × Cos ß = 10=> Cos ß = 10/14Sin² ß = 1 - Cos² ß = 1 - (100/196) = 96/196 = 24/49 =Sin ß = ± √(24)/7.

If A.B=10 and |A×B| =10 underroot3 then what is the angle between A and B?

We shall use bold face letter to show vectors and the same letter without bold face as magnitude of the vector, for example A represents vector A and A is the magnitude the vector A.We are given that,A . B = 10 ————————————-(1)NowA . B = A × B ×Cos ß ————-(2)where ß is the angle between the vectors A and B, and 0° ≤ ß ≤ 180°Therefore,A . B = A × B × Cos ß = 10——————-(3)andA × B = A × B × Sin ß n ———————-(4)where n is a unit vector perpendicular to the plane formed by vectors A and B.Magnitude of the cross product of two vectors A and B is| A × B | = A × B × Sin ß = 10√3 ———(5)Dividing 5 by 4 we getTan ß = (10√3)/10 = √3==> ß = arc Tan (√3) = 60°The angle between the two vectors is 60°.

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