Given that A + B = R and A2 + B2 = R2. The angle between A and B is
Consider two vectors \hat{F}_{1}=2\hat{i}+5\hat{k} and \hat{F}_{2}=3\hat{j}+4\hat{k} The magnitude of the scalar product of these vectors is
\dot{F}_{1}.\dot{F}_{2}=(2\hat{i}+5\hat{k})\cdot (3\hat{j}+4\hat{k})=20
If \hat{n} is a unit vector in the direction of the vector A, then
The unit vector of any vector \dot{A}is defined as
\hat{A}=\frac{\dot{A}}{\left | \dot{A} \right |}
Three vectors A, B and C satisfy the relation A B = 0 and A C = 0. The vector A is parallel to
Since \dot{A}.\dot{C}=0=\dot{A}.\dot{B}, it means that \dot{A}
is perpendicular to both \dot{C}\: and\: \dot{B}, hence \dot{A}
is parallel to (\dot{B}\times \dot{C})or(\dot{C}\times \dot{B}).
If A and B are two vectors, then the correct statement is
In vector addition, the commutative law is obeyed
\frac{i.e.,\dot{A}+\dot{B}=\dot{B}+\dot{A}}{Vector\: subtraction\: does\: not\: follow\: commutative\: law.}
The greatest height to which a man can through a ball is h.What is the greatest horizontal distance to which he can throw the ball?
Which of the following is not correct ?
The angular speed of a fly-wheel making 120 revolutions/minute is