Motion in a Plane
ICSE · Class 11 · Physics
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See them allState the difference between scalar quantities and vector quantities.
Answer
Scalar quantities have only magnitude and no direction. Examples include mass, distance, time, speed, volume, density, pressure, work, energy, power, charge, electric current, temperature, potential, …
Why is position a vector quantity?
Answer
Position needs both distance and direction for complete description. Saying only that an object is 2 km away is incomplete. Saying that it is 2 km north from the station gives complete information. So…
State the formula for displacement vector in terms of position vectors.
Answer
Displacement vector equals final position vector minus initial position vector. Formula: Displacement vector = final position vector - initial position vector or PQ = r2 - r1 Meaning: if an object m…
A body moves from position vector r1 = 2i + 3j m to r2 = 7i + 8j m. Find the displacement vector.
Answer
Given: r1 = 2i + 3j m r2 = 7i + 8j m Formula: Displacement = r2 - r1 Step 1: Subtract components = (7i + 8j) - (2i + 3j) m = (7 - 2)i + (8 - 3)j m = 5i + 5j m Answer: Displacement vector = 5i + 5j …
What is a zero vector or null vector?
Answer
If two vectors A and B are equal, then A - B is defined as the zero vector or null vector and is denoted by 0. A zero vector has zero magnitude and no specific direction. It is needed in vector algeb…
State the properties of the zero vector.
Answer
1. A + 0 = A 2. n0 = 0 for any finite number n 3. 0A = 0 Meaning: adding a zero vector to any finite vector does not change the vector. Multiplying a zero vector by any finite number still gives a ze…
State the condition for equality of two vectors.
Answer
Two vectors are equal only if they have the same magnitude and the same direction. If the direction of a vector is reversed, its sign changes and the new vector is the negative vector of the original…
A vector A has magnitude 10 m and is directed east. What are 2A and -2A?
Answer
Given: A = 10 m east Step 1: Multiply by 2 2A has magnitude 20 m and same direction east. Step 2: Multiply by -2 -2A has magnitude 20 m and opposite direction west. Answer: 2A = 20 m east -2A = 20 …
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