Let a and b be positive real numbers. Suppose are adjacent sides of a parallelogram PQRS…
Mathematics · JEE Advanced · NTA Exams — Vector Algebra
Let a and b be positive real numbers. Suppose 
are adjacent sides of a parallelogram PQRS. Let \(\vec{u} \ ext { and } \vec{v}\)be the projection vectors of \(\vec{w}=\hat{i}+\hat{j}\)along \(\overrightarrow{P Q} \ ext { and } \overrightarrow{P S},\) respectively. If 
and if the area of the parallelogram PQRS is 8, then which of the following statements is/are TRUE?
are adjacent sides of a parallelogram PQRS. Let \(\vec{u} \ ext { and } \vec{v}\)be the projection vectors of \(\vec{w}=\hat{i}+\hat{j}\)along \(\overrightarrow{P Q} \ ext { and } \overrightarrow{P S},\) respectively. If and if the area of the parallelogram PQRS is 8, then which of the following statements is/are TRUE?- a + b = 4
- a – b = 2
- The length of the diagonal PR of the parallelogram PQRS is 4
is an angle bisector of the vectors 
Answer
(D) is an angle bisector of the vectors
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