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If the position vector a of the point (5, n) is such that |a | = 13, then the value/values of n an be
- a)±8
- b)±12
- c)8 only
- d)12 only
Correct answer is option 'B'. Can you explain this answer?
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If the position vector a of the point (5, n) is such that |a | = 13, t...
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If the position vector a of the point (5, n) is such that |a | = 13, t...
To find the value/values of n, we can use the formula for the magnitude of a vector:
|a| = sqrt(x^2 + y^2)
where (x, y) are the components of the vector a.
In this case, the position vector a is (5, n), so we have:
|a| = sqrt(5^2 + n^2)
Given that |a| = 13, we can substitute this into the equation:
13 = sqrt(5^2 + n^2)
Squaring both sides of the equation, we get:
169 = 25 + n^2
Subtracting 25 from both sides, we have:
144 = n^2
Taking the square root of both sides, we get:
n = ±12
Therefore, the possible values of n are 12 and -12.
|a| = sqrt(x^2 + y^2)
where (x, y) are the components of the vector a.
In this case, the position vector a is (5, n), so we have:
|a| = sqrt(5^2 + n^2)
Given that |a| = 13, we can substitute this into the equation:
13 = sqrt(5^2 + n^2)
Squaring both sides of the equation, we get:
169 = 25 + n^2
Subtracting 25 from both sides, we have:
144 = n^2
Taking the square root of both sides, we get:
n = ±12
Therefore, the possible values of n are 12 and -12.
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If the position vector a of the point (5, n) is such that |a | = 13, then the value/values of n an bea)±8b)±12c)8 onlyd)12 onlyCorrect answer is option 'B'. Can you explain this answer?
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