Question 1
Instructions: On occasion, the notation
= [A, θ] will be a shorthand notation for
.
Given that
![](data:image/png;base64, iVBORw0KGgoAAAANSUhEUgAAAAwAAAAYCAIAAABBUIs9AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAACiSURBVDhPpY6BDcMgDATZoCNkBPafghEYgRHIwTuIUEeh6ktYb/uwHeqG/oNKKeYEkS/KOccYiXiDyI8vhRCItH6Z5Ept6RGa5a8bMkgHfi71oy3FcFaDeDhK0EQ8ot1+9/8GMXZAWjF/e4f8SX2brbvdNCA1RFBJKdFdoa1JxK2bBM2VR8iZNEpEPFpvUkJbwislimgQjxWuRKAGvWoDqvUEp8VHiuVUZFsAAAAASUVORK5CYII=)
and
![](data:image/png;base64, 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)
, what is
![](data:image/png;base64, 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)
?
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Question 2
Instructions: On occasion, the notation
= [A, θ] will be a shorthand notation for
.
The diagram below shows 3 vectors which sum to zero, all of equal length. Which statement below is true?
![](data:image/png;base64, iVBORw0KGgoAAAANSUhEUgAAAA0AAAAYCAIAAACukuADAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAC7SURBVDhPpZDbEcMgDATpgBJSAv1XQQmUQAlk8cmCYJI4k/1ghLRzPEK7x99erdWqg+7RWiilpJRYqYdH63EhhMDKSOoveVvcEG+9hY23JInVQ9LNbH+yehgxRl766X7M9COoS+SLx0yePm+OHJ5ulnMmTJF7jzC9YHu0eQrTgFWR89HDo4tB4d4caR57PEfeHNk9P5RCXCO7pzDthXuKpGMVXSJJosVKTcfpkgaiRx3Y/oSOveMr97zWnh/f4gQizluWAAAAAElFTkSuQmCC)
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