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NDA Math Vector Algebra

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For the next two (2) items that follow :
Let

∧

a

,

∧

b

be two units vectors and θ be the angle θ between them.

[NDA I 2016]

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Question : 71

Total: 101

What is sin(

|
∧
a
−
∧
b
|
2
|
∧
a
+
∧
b
|
2
|
∧
a
−
∧
b
|
4
|
∧
a
+
∧
b
|
4

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