Given below are two statements. STATEMENT - 1: If three points P, Q and R have position…
Mathematics · JEE Main · NTA Exams — Vector Algebra
STATEMENT - 1: If three points P, Q and R have position vectors \(\overrightarrow{\mathrm{a}}, \overrightarrow{\mathrm{~b}}\) and \(\overrightarrow{\mathrm{c}}\) respectively, and \(2 \overrightarrow{\mathbf{a}}+3 \overrightarrow{\mathbf{b}}-5 \overrightarrow{\mathbf{c}}=0\), then points P, Q, and R must be collinear.
STATEMENT - 2: If for the points A, B and C, \(\overrightarrow{\mathrm{AB}}=\lambda \overrightarrow{\mathrm{AC}}\), then the points A, B and C must be collinear.
In the light of the above statements, choose the correct answer from the options given below:
- Both the Statements are true and Statement - 2 is the correct explanation for Statement - 1
- Both the Statements are true but Statement - 2 is not the correct explanation for Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(B) Both the Statements are true but Statement - 2 is not the correct explanation for Statement - 1
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