1. Tardigrade
  2. Question
  3. Mathematics
  4. A vector veca makes equal acute angles on the coordinate axis. Then the projection of vector vec b =5 hat i +7 hat j - hat k on vec a is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A vector $\vec{a}$ makes equal acute angles on the coordinate axis. Then the projection of vector $\vec{ b }=5 \hat{ i }+7 \hat{ j }-\hat{ k }$ on $\vec{ a }$ is

KCETKCET 2021Vector Algebra

Solution:

$\overline{ a }=\hat{ i }+\hat{ j }+\hat{ k }$
$\frac{\overline{ b } \cdot \overline{ a }}{|\overline{ a }|}=\frac{5+7-1}{\sqrt{3}}$
$=\frac{11}{\sqrt{3}}$