If 2 35 7 1- 3- 2 4 = - 4 6- 9 x , write the value of x.
2 35 7 1 - 3- 2 4 = - 4 6- 9 x ⇒ - 4 6- 9 13 = - 4 6- 9 x
By equality of matrices,
x = 13.
Let * be a ‘binary’ operation on N given by a * b = LCM ( a, b ) for all a, b ∈ N. Find 5 * 7.
Write the principal value of cos-1 12 - 2 sin-1 - 12 .
Simplify: cos θ cos θ sin θ- sin θ cos θ + sin θ sin θ - cos θcos θ sin θ
If ∆ = 5 3 8 2 0 1 1 2 3 , white the cofactor of the element a32.
Evaluate ∫( 1 - x ) x dx
Evaluate: ∫23 1x dx
Find ' λ ' when the projection of a→ = λ i^ + j^ + 4 k^ on b→ = 2 i^ + 6 j^ + 3 k^ is 4 units.
If a line has direction ratios 2,-1,-2 then what are its direction cosines?
Find the sum of the following vectors:
a→ = i^ - 2 j^ , b→ = 2 i^ - 3 j^ , c→ =2 i^ + 3 k^.