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Chapter 10 Vector Algebra Ex 10.4 Solutions

Question - 1 : -

Find, if and

Answer - 1 : - It is given that,

Question - 2 : - Find a unit vector perpendicular to each of the vector  and  , where  and .

Answer - 2 : - It is given that,

Question - 3 : -

Answer - 3 : - Firstly,

Question - 4 : - Show that

Answer - 4 : - Firstly consider the LHS,

We have,

Question - 5 : - Find λ and μ if 

Answer - 5 : - It is given that,

Question - 6 : -

Answer - 6 : -

Question - 7 : -

Answer - 7 : - It is given that,

Question - 8 : -

Answer - 8 : - Firstly let us consider,

Question - 9 : - Find the area of the triangle with vertices A (1, 1, 2), B (2, 3, 5) and C (1, 5, 5).

Answer - 9 : - We know,

Question - 10 : - Find the area of the parallelogram whose adjacent sides are determined by the vector  .

Answer - 10 : - Let us consider,

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