MCQ
The angle between $(\overrightarrow A - \overrightarrow B )$ and $(\overrightarrow A \times \overrightarrow B )$ is $(\overrightarrow{ A } \neq \overrightarrow{ B })$
- A$120$
- B$45$
- ✓$90$
- D$60$
✓
Answer
Correct option: C.
$90$
c
$\overrightarrow{ A }, \overrightarrow{ B }, \overrightarrow{ A }-\overrightarrow{ B }$ are in same plane. $\overrightarrow{ A } \times \overrightarrow{ B }$ is perpendicular to the plane of $\vec{A}, \vec{B}$ and $\vec{A}-\vec{B}$ then angle between $\vec{A}-\vec{B}$ and $\overrightarrow{ A } \times \overrightarrow{ B }$ is $90^{\circ}$.
$\overrightarrow{ A }, \overrightarrow{ B }, \overrightarrow{ A }-\overrightarrow{ B }$ are in same plane. $\overrightarrow{ A } \times \overrightarrow{ B }$ is perpendicular to the plane of $\vec{A}, \vec{B}$ and $\vec{A}-\vec{B}$ then angle between $\vec{A}-\vec{B}$ and $\overrightarrow{ A } \times \overrightarrow{ B }$ is $90^{\circ}$.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The resistance of a rectangular block of copper of dimensions $2 \,mm \times 2 \,mm \times 5 \,m$ between two square faces is $0.02 \,\Omega$. What is the resistivity of copper?
→A particle is thrown with a velocity of $u \,m / s$. It passes $A$ and $B$ as shown in figure at time $t_1=1 \,s$ and $t_2=3 \,s$. The value of $u$ is ....... $m / s$ $\left(g=10 \,m / s ^2\right)$
→A boat crosses a river with a velocity of $8\, km/h$. If the resulting velocity of boat is $10 \,km/h $ then the velocity of river water is...........$km/h$
→Aring consisting of two parts $ADB$ and $ACB$ of same conductivity $k$ carries an amount of heat $H$. The $ADB$ part is now replaced with another metal keeping the temperatures $T_1$ and $T_2$ constant. The heat carried increases to $2H$. What $ACB$ should be the conductivity of the new$ADB$ part? Given $\frac{{ACB}}{{ADB}}= 3$
→A truck of mass $M$ is at rest on frictionless road when a monkey of mass $m$ starts moving on the truck in forward direction.If the truck recoils with a speed $v$ backward on the road, with what velocity is the monkey moving with respect to truck ?
→A particle of mass $100\,g$ is projected at time $t =0$ with a speed $20\,ms ^{-1}$ at an angle $45^{\circ}$ to the horizontal as given in the figure. The magnitude of the angular momentum of the particle about the starting point at time $t=2\,s$ is found to be $\sqrt{ K }\,kg\,m ^2 / s$. The value of $K$ is $............$ $\left(\right.$ Take $\left.g =10\,ms ^{-2}\right)$
→The arrangement as shown in figure is called as
A tiny $0.50\, gm$ ball carries a charge of magnitude $10\, \mu C$. It is suspended by a thread in a downward electric field of intensity $300\, N/C$. If the charge on the ball is positive, then the tension in the string is
→In a $p-n$ junction solar cell, the value of photo-electromotive force produced by monochromatic light is proportional to the
→A radioactive substance emits