Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JIPMER 2015
Exam
JIPMER
Year
2015
Subject
Physics
Chapter
Mathematics in Physics

JIPMER 2015 · Physics · Mathematics in Physics

The angle between two linear transmembrane domains is defined by...

The angle between two linear transmembrane domains is defined by following vectors a=i^+j^−k^\mathbf{a}=\hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}} and b=i^−j^+k^\mathbf{b}=\hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}

Options

  1. Acos⁡−1(13)\cos ^{-1}\left(\frac{1}{3}\right)
  2. Bcos⁡−1(−13)\cos ^{-1}\left(\frac{-1}{3}\right)
  3. Csin⁡−1(−13)\sin ^{-1}\left(\frac{-1}{3}\right)
  4. Dsin⁡−1(13)\sin ^{-1}\left(\frac{1}{3}\right)

Correct answer

B. cos⁡−1(−13)\cos ^{-1}\left(\frac{-1}{3}\right)

Step-by-step solution

The angle between two vectors is given by cos⁡θ=a⋅bab=1−1−13×3⇒cos⁡θ=−13∴θ=cos⁡−1(−13)\begin{array}{rlrl} & \cos \theta & =\frac{\mathbf{a} \cdot \mathbf{b}}{a b}=\frac{1-1-1}{\sqrt{3} \times \sqrt{3}} \\ \Rightarrow & \cos \theta & =-\frac{1}{3} \\ & \therefore & \theta & =\cos ^{-1}\left(-\frac{1}{3}\right)\end{array}
Practice Mathematics in Physics on Quantrex Academy →

More from Mathematics in Physics

For the vector A making an angle θ with the negative X-axis and lying in the third… MHT CET Medical 2026The heat generated in a circuit is given by Q = I^2 R t . If the percentage error in the… MHT CET Medical 2026What is the relation between the two vectors A = 2 i + 5 j - 6 k and B = i + (5)/(2) j… MHT CET Medical 2026A body travels uniformly a distance of (20 ± 0.2) m in a time (4.0 ± 0.4) s. The… MHT CET Medical 2026A vector B is along positive y-axis and its vector product with another vector A is zero… MHT CET Medical 2026The physical quantity P= a^ 3 b^ 2 c^ 1/3 d^ 1/4 , where the percentage error in a, b, c… MHT CET Medical 2026A and B are expressed as A =2 i + j and B = i - j . Unit vector perpendicular to A and B… MHT CET Medical 2026Given A = 2 i - 2 j + 8 k and B = 2 i - m j + 8 k , if A and B have the same direction… MHT CET Medical 2026 Full Mathematics in Physics list All NEET PYQs