JEE MATHEMATICS MCQ: ADDITION OF VECTORS

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Application +4 | -1

The length of longer diagonal of the parallelogram constructed on 5a + 2b and a – 3b, when it is given that

\left| a \right| = 2\sqrt 2 ,\,\,\left| b \right| = 3

and angle between a and b is

\frac{\pi }{4},

View answer and explanation

Correct option: C

\sqrt {593}

Option C (

\sqrt {593}

) is correct because the length of the longer diagonal is calculated using the parallelogram law of vector addition and is found to be

\sqrt {593}

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AF:AC =