Show that area of the parallelogram whose diagonals are given by

Question:

Show that area of the parallelogram whose diagonals are given by NCERT Exemplar Solutions Class 12 Mathematics Chapter 10 - 48 and NCERT Exemplar Solutions Class 12 Mathematics Chapter 10 - 49 is . Also find the area of the parallelogram whose diagonals are NCERT Exemplar Solutions Class 12 Mathematics Chapter 10 - 50and NCERT Exemplar Solutions Class 12 Mathematics Chapter 10 - 51 .

$\frac{|\vec{a} \times \vec{b}|}{2}$

Solution:

Let’s take ABCD to be a parallelogram such that

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