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Heya......!!!
_____________________________
Let :
→ vector A = 3i^ - 2j^ + 4k^
→ vector B = 12i^ + 3j^ - 4k^
We have to find out the component of vector A along the direction of vector B
=> A•B = ABCosθ
=> Acosθ = A•B ÷ | B |
This is the component of vector A along the direction of vector B .
So , A•B = 36 - 6 - 4 => 26
and | B | => √( 12^2 + 3^2 + (-4)^2 )
→ | B | = √169 => 13
→ A•B = 26
=> Acosθ = A•B ÷ |B|
=> Acosθ = 26 / 13 => 2
♦ component of vector A along the direction of vector B = 2
=================================
Hope It Helps You ☺
_____________________________
Let :
→ vector A = 3i^ - 2j^ + 4k^
→ vector B = 12i^ + 3j^ - 4k^
We have to find out the component of vector A along the direction of vector B
=> A•B = ABCosθ
=> Acosθ = A•B ÷ | B |
This is the component of vector A along the direction of vector B .
So , A•B = 36 - 6 - 4 => 26
and | B | => √( 12^2 + 3^2 + (-4)^2 )
→ | B | = √169 => 13
→ A•B = 26
=> Acosθ = A•B ÷ |B|
=> Acosθ = 26 / 13 => 2
♦ component of vector A along the direction of vector B = 2
=================================
Hope It Helps You ☺
rohit710:
^_^ Welcome brother :)
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