+91-8076753736[email protected]
logo
logo
-->

Vector Algebra

Question
CBSEENMA12034075
Wired Faculty App

straight a with rightwards arrow on top space and space straight b with rightwards arrow on top are two vectors such that open vertical bar straight a with rightwards arrow on top close vertical bar space equals 2 comma space space space open vertical bar straight b with rightwards arrow on top close vertical bar space equals space 3 space and space straight a with rightwards arrow on top. space straight b with rightwards arrow on top space equals space 3 comma find the angle between straight a with rightwards arrow on top space and space straight b with rightwards arrow on top.

Solution

We have open vertical bar straight a with rightwards arrow on top close vertical bar space equals space 2 comma space space space open vertical bar straight b with rightwards arrow on top close vertical bar space equals space 3 comma space space straight a with rightwards arrow on top. space straight b with rightwards arrow on top space equals space 3
Let straight theta be the angle between straight a with rightwards arrow on top space and space straight b with rightwards arrow on top.
therefore space space space straight a with rightwards arrow on top. space straight b with rightwards arrow on top space equals space open vertical bar straight a with rightwards arrow on top close vertical bar space open vertical bar straight b with rightwards arrow on top close vertical bar space cos space straight theta space space space space space rightwards double arrow space space space 3 space equals space left parenthesis 2 right parenthesis thin space left parenthesis 3 right parenthesis space cos space straight theta therefore space space space space cos space straight theta space equals space 1 half space space space space space rightwards double arrow space space space space straight theta space equals space 60 degree

Some More Questions From Vector Algebra Chapter

Classify the following measures as scalars and vectors.
40°

Classify the following measures as scalars and vectors.
40 watt

Classify the following measures as scalars and vectors.
10–19 coulomb

Classify the following measures as scalars and vectors.
20 m/s2

Classify the following measures as scalars and vectors.
time period

Classify the following measures as scalars and vectors.
distance

Classify the following measures as scalars and vectors.
force

Classify the following measures as scalars and vectors.
velocity

Classify the following measures as scalars and vectors.
work done

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation