Math Notes 12th Class

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  Very Short Answer Questions (1 Mark) Q1. Classify the following measures as scalar and vector quantities:. (i) 40° (ii) 50 watt (iii) 10 gm/cm 3 (iv) 20 m/sec towards north (v) 5 seconds. A1. (i) Angle-scalar (ii) Power-scalar (iii) Density-scalar (iv) Velocity-vector (v) Time-scalar. Q2. Find the sum of the vectors: a =  i -2 j + k ,  b =-2 i +4 j +5 k  and  c = i -6 j -7 k      A2. Sum of the vectors =  a + b + c =( i -2 j + k )+( -2 i +4 j +5 k )+( i -6 j -7 k )  =( i −2 i + i ) + (-2 j +4 j −6 j )+( k +5 k -7 k ) =-4 j   –  k . Q3. What are the horizontal and vertical components of a vector  a  of magnitude 5 making an angle of 150 ∘  with the direction of the x-axis? A3. The vector  a  has a magnitude | a |=5 units and makes an angle  θ=150 ∘  in the direction of the x-axis. Its horizontal and vertical components can be calculated as follows: Horizontal component  x =|  a ...

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