Question
What is triangle law of vector addition?
✓
Answer
Triangle law of vector addition:
If two vectors describing the same physical quantity are represented in magnitude and direction, by the two sides of a triangle taken in order, then their resultant is represented in magnitude and direction by the third side of the triangle drawn in the opposite sense, i.e., from the starting point (tail) of the first vector to the end point (head) of the second vector.
Let $\overrightarrow{ P }$ and $\overrightarrow{ Q }$ be the two vectors of same type taken in same order as shown in figure.
$\qquad$ $\therefore$ Resultant vector will be given by third side taken in opposite order, i.e., $\overline{ OA }+\overline{ AB }=\overline{ OB }$
$\therefore \overrightarrow{ P }+\overrightarrow{ Q }=\overrightarrow{ R }$
If two vectors describing the same physical quantity are represented in magnitude and direction, by the two sides of a triangle taken in order, then their resultant is represented in magnitude and direction by the third side of the triangle drawn in the opposite sense, i.e., from the starting point (tail) of the first vector to the end point (head) of the second vector.
Let $\overrightarrow{ P }$ and $\overrightarrow{ Q }$ be the two vectors of same type taken in same order as shown in figure.
$\qquad$ $\therefore$ Resultant vector will be given by third side taken in opposite order, i.e., $\overline{ OA }+\overline{ AB }=\overline{ OB }$
$\therefore \overrightarrow{ P }+\overrightarrow{ Q }=\overrightarrow{ R }$
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
A bullet fired at an angle of $300$ with the horizontal hits the ground $3 \ km$ away. By adjusting the angle of projection, can one hope to hit a target $5 \ km$ away? Assume the muzzle speed to be fixed and neglect air resistance.
→What is the specific heat of a metal if 50 cal of heat is needed to raise 6 kg of the metal from 20°C to 62 °C ?
What is the stress in a wire which is 50m long and 0.01cm2 in cross section, if the wire bears a load of 100kg?
A projectile has a range of $50 m$ and reaches a maximum height of $10 m$. What is the reation of the projectile?
→A large ball 2 m in radius is made up of a rope of square cross section with edge length 4 mm. Neglecting the air gaps in the ball, what is the total length of the rope to the nearest order of magnitude?
A wire gets stretched by $4mm$ due to a certain load. If the same load is applied to a wire of same material with half the length and double the diameter of the first wire. What will be the change in its length?
→A plane electromagnetic wave travels in vacuum along Z-direction. What can you say about the directions of its electric and magnetic field vectors? If the frequency of the wave is 30 MHz, what is its wavelength?
Write down the number of significant figures in the following: $0.003 m^2, 0.1250 gm cm^{-2}, 6.4 \times 10^6 m, 1.6 \times 10^{-19} C, 9.1 \times 10^{-31} kg.$
→State Kepler’s three laws of planetary motion.
A short bar magnet has a magnetic moment of $0.48 \ JT^{-1}.$ Give the direction and magnitude of the magnetic field produced by the magnet at a distance of $10 \ cm$ from the centre of the magnet on $(i)$ the axis $(ii)$ the equatorial lines $($normal bisector$)$ of the magnet.
→