ExamBro
ExamBro
JEE Mains · Maths · STD 12 - 10. vector algebra

माना \(\vec{a}, \vec{b}\) तथा \(\vec{c}\) तीन मात्रक (unit) सदिश इस प्रकार हैं कि \(\overrightarrow{ a }+\overrightarrow{ b }+\overrightarrow{ c }=\overrightarrow{0}\). यदि \(\lambda=\overrightarrow{ a } \cdot \overrightarrow{ b }+\overrightarrow{ b } \cdot \overrightarrow{ c }+\overrightarrow{ c } \cdot \overrightarrow{ a }\) तथा \(\overrightarrow{ d }=\overrightarrow{ a } \times \overrightarrow{ b }+\overrightarrow{ b } \times \overrightarrow{ c }+\overrightarrow{ c } \times \overrightarrow{ a }\), तो क्रमित युग्म \((\lambda, \overrightarrow{ d })\) बराबर हैं 

  1. A \(\left(-\frac{3}{2}, 3 \overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}\right)\)
  2. B \(\left(-\frac{3}{2}, 3 \overrightarrow{\mathrm{c}} \times \overrightarrow{\mathrm{b}}\right)\)
  3. C \(\left(\frac{3}{2}, 3 \overrightarrow{\mathrm{b}} \times \overrightarrow{\mathrm{c}}\right)\)
  4. D \(\left(\frac{3}{2}, 3 \overline{\mathfrak{a}} \times \overline{\mathfrak{c}}\right)\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\left(-\frac{3}{2}, 3 \overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}\right)\)

Step-by-step Solution

Detailed explanation

\(\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{c}}=\overrightarrow{0}\)…
Same subject
Explore more questions on app
From JEE Mains
Explore more questions on app