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Most Important Selected Qs for JEE AdvancedMathematicsVector Algebra

Let , and be the unit vectors such that and are mutually perpendicular and is equally inclined to and at an angle . If =x +y +z( ) , then

Options

  1. Az^2=1-2 x^2
  2. Bz^2=1-2 y^2
  3. Cz^2=1-x^2-y^2
  4. Dx^2=y^2

Correct answer

D. x^2=y^2

Step-by-step solution

=x( )+y( )+z ( ) x = . similarly y = ( )=z( ) ( ) z=[ ][ ]^2= | array ccc 1 & 0 & 0 & 1 & & & 1 array |=1-2 ^2 .

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