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Vector Projection Calculator

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2cos²(x)−√3cos(x)=0, 0^◦<x<360^◦

Solution

x=30^◦, x=330^◦, x=90^◦, x=270^◦

Radians

x=π6 , x=11π6 , x=π2 , x=3π2

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Solution steps

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proj_⃗ a(⃗ b )=⃗ b · ⃗ a |⃗ a |² · ⃗ a

⃗ a =(

), ⃗ b =(

−1

)

|⃗ a |: |(

)|=2√5

⃗ b · ⃗ a : (

−1

)(

)=18

⃗ b · ⃗ a |⃗ a |² · ⃗ a =18(2√5)² · (

)

Refine: 18(2√5)² (

)=(

185

)

185

)

(

185

)

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

Vector Projection Calculator

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