When two vectors- a- and b- are added- the magnitude of the resultant vector is alwaysA- Greater than - a - b -B- less than or equal to - a - b -C- less than - a - b -D- equal to - a - b -

The correct option is B less than or equal to (|a| + |b|) nbsp; We know that, |a| + |b| ≥ |a + b| gt; |a| |b| Hence, the magnitude of resultant vector ...

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Byju's Answer

Standard XII

Physics

Vector Addition

When two vect...

Question

When two vectors, $\to a$ and $\to b$ are added, the magnitude of the resultant vector is always

Greater than

(| \to a | + | \to b |)

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less than or equal to

(| \to a | + | \to b |)

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less than

(| \to a | + | \to b |)

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equal to

(| \to a | + | \to b |)

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Solution

The correct option is B less than or equal to $(| \to a | + | \to b |)$

We know that,
$| \to a | + | \to b | \geq | \to a + \to b | > | \to a | - | \to b |$
Hence, the magnitude of resultant vector is always less than or equal to $(| \to a | + | \to b |)$ .

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When two vectors, →a and →b are added, the magnitude of the resultant vector is always

The correct option is B less than or equal to (|→a|+|→b|) We know that, |→a|+|→b|≥|→a+→b|>|→a|−|→b| Hence, the magnitude of resultant vector is always less than or equal to (|→a|+|→b|).

When two vectors, $\to a$ and $\to b$ are added, the magnitude of the resultant vector is always

The correct option is B less than or equal to $(| \to a | + | \to b |)$

We know that,
$| \to a | + | \to b | \geq | \to a + \to b | > | \to a | - | \to b |$
Hence, the magnitude of resultant vector is always less than or equal to $(| \to a | + | \to b |)$ .