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

Vector Algebra

Question
CBSEENMA12034203
Wired Faculty App

If open vertical bar straight a with rightwards arrow on top close vertical bar space equals space 5 comma space space space open vertical bar straight b with rightwards arrow on top close vertical bar space equals space 4 space and space straight a with rightwards arrow on top. space straight b with rightwards arrow on top space equals space 16 comma space find space open vertical bar straight a with rightwards arrow on top cross times space straight b with rightwards arrow on top close vertical bar.

Solution

Here open vertical bar straight a with rightwards arrow on top close vertical bar space equals space 5 comma space space space open vertical bar straight b with rightwards arrow on top close vertical bar space equals 4
Also,  straight a with rightwards arrow on top. space straight b with rightwards arrow on top space equals space 16
therefore space space 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 equals space 16 space where space straight theta space is space angle space between space straight a with rightwards arrow on top space and space straight b with rightwards arrow on top.
therefore space space space left parenthesis 5 right parenthesis thin space left parenthesis 4 right parenthesis space cos space straight theta space equals space 16 space space space space space rightwards double arrow space space space space cos space straight theta space equals space 16 over 20 space equals space 4 over 5 rightwards double arrow space space space space space space space space space space space space space space space space space space space space space space space space sin space straight theta space equals space 3 over 5 therefore space space space open vertical bar straight a with rightwards arrow on top space cross times space straight b with rightwards arrow on top close vertical bar 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 sin space straight theta space equals space left parenthesis 5 right parenthesis thin space left parenthesis 4 right parenthesis space open parentheses 3 over 5 close parentheses space equals space 12

Some More Questions From Vector Algebra Chapter

Classify the following measures as scalars and vectors.
10 kg

Classify the following measures as scalars and vectors.
2 meters north-west

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

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation