First slide

Scalars and Vectors

Question

Two vectors have magnitudes 6 units and 8 units, respectively. Find magnitude of resultant of two vectors if angle between two vectors is $0 °$

Easy

A

12 units
B

13 units
C

14 units
D

15 units

Solution

Magnitude of vector A=6 Units.
Magnitude of vector B=8 units.
Now resultant $= | A + B |$ will be equal to $\sqrt{A^{2} + B^{2} + 2 A B \cos (θ)}$
when angle between them is 0 degree:
Then $| A + B | = \sqrt{6^{2} + 8^{2} + (2) (6) (8) \cos (0)}$
$= \sqrt{100 + 96} (s i n c e \cos (0) = 1)$
=14 units

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