Class XI

Multiplying a vector v⃗ v→ by a negative real number λ
  1. gives a vector v′→v′→ = λv⃗ λv→ in a direction opposite to v⃗
  2. gives a vector v′→v′→ = λv⃗ λv→ in the same direction as v⃗
  3. gives a scalar that is λλ times the magnitude of v⃗
  4. gives a scalar that is λλ times the polar angle of v⃗
The addition of vectors and the multiplication of a vector by a scalar together gives rise to
  1. asymmetric laws
  2. intransitive law
  3. distributive laws
  4. commutative law
Two vectors are equal if
  1. the two vectors have opposite directions
  2. the direction is the same for both
  3. the magnitude is the same for both
  4. the magnitude and direction are the same for both
If are x, y and z components of a vector then its magnitude is Clear Ax, Ay and Az
  1. A2 + + x A2y A2z −−−−−−−−−−−
  2. A2 +2 + x A2y A2z −−−−−−−−−−−− √
  3. A2 -2 + x A2y A2z −−−−−−−−−−−− √
  4. A2 +3+ x A2y A2z −−−−−−−−−−−− √
A unit vector is a vector
  1. having a magnitude of 1 and points in x-direction
  2. having a magnitude of 1 and points in y-direction
  3. having a magnitude f 1 ando points in any chosen direction
  4. having a magnitude of 1 and points in z-direction
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