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꧁ Given ꧂
The magnitude of 2i + yj + 3k = 5.
꧁ To Find ꧂
The value of y.
꧁ Solution ꧂
► For magnitude, we know :-
◘ Magnitude = √(sum of the squares of the coefficients of i, j and k)
⇒ Magnitude = √(2² + y² + 3²)
⇒ 5 = √(4 + y² + 9)
⇒ 5 = √(13 + y²)
► Squaring both sides :-
⇒ 25 = 13 + y²
⇒ y² = 25 - 13
⇒ y² = 12
⇒ y = √12
⇒ y = √(3 × 4)
⇒ y = 2√3
Therefore, the value of y is 2√3.
Answered by
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Step-by-step explanation:
- The magnitude is 2i+yj+3k=5
- Find value y=?
- Solution:
Is given up.
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