What is the angle between the vectors and ?
Given that,
and
Let be the angle between the given two vectors.
We know,
∴
Now
Magnitude is given by,
Thus, angle between the vectors,
A particle moves from point (2, 3, 5) to (8, -4, 2) when a force of unit is applied on it. Find the work done by the force.
Given, a particle moves from point P(2,3,5) to Q(8,-4,2).
Force applied on th particle, F =
Therefore, the displacement undergone by the particle is,
Therefore work done by force is,
J
For what value of c the vector will be perpendicular to:
(i) Z-axis (ii) Y-axis?
(i) Vector is zero.
i.e.
The equation is satisfied for all values of c.
Therefore is always perpendicular to Z-axis whatever the value of c.
(ii) Similarly
∴ is perpendicular to Y-axis if c = 0.
Find the unit vector in direction of where
Here,
Therefore the magnitude of vector
Now the unit vector in direction of is,