The square of magnitude of 3 -4 -5 k- isA- 25B- 50C- 15

The correct option is B 50Given vector is 3î+4ĵ + 5k̂ Its magnitude is √(3^2 + 4^2 + 5^2) The square of the magnitude is (√(3^2 + 4^2 + 5^2))^2 =3^2 + 4^2 + 5 ...

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Standard XII

Mathematics

Representation of Vectors

The square of...

Question

The square of magnitude of $3^i + 4^j + 5^k$ is

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Solution

The correct option is B 50
Given vector is $3^i + 4^j + 5^k$

Its magnitude is $\sqrt{3^{2} + 4^{2} + 5^{2}}$

The square of the magnitude is ${(\sqrt{3^{2} + 4^{2} + 5^{2}})}^{2}$
$= 3^{2} + 4^{2} + 5^{2}$
$= 9 + 16 + 25 = 50$

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Similar questions

Q. The square of the magnitude of the vector

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The square of magnitude of 3^i+4^j+5^k is

The correct option is B 50Given vector is 3^i+4^j+5^k Its magnitude is √32+42+52 The square of the magnitude is (√32+42+52)2 =32+42+52 =9+16+25=50

The square of magnitude of $3^i + 4^j + 5^k$ is

The correct option is B 50
Given vector is $3^i + 4^j + 5^k$

Its magnitude is $\sqrt{3^{2} + 4^{2} + 5^{2}}$

The square of the magnitude is ${(\sqrt{3^{2} + 4^{2} + 5^{2}})}^{2}$
$= 3^{2} + 4^{2} + 5^{2}$
$= 9 + 16 + 25 = 50$