Q. 175.0( 1 Vote )

# Find the angle between the vectors and if and hence find a vector perpendicular to both and

Answer :

Given:

and

So,

We know that

where θ is the angle between

According to the question our equation becomes,

…(i)

Now,

= (5.(-1)) + (0).(1) + (1).(5)

= -5 + 5

= 0

Magnitude of

Magnitude of

Now, putting the values in eq. (i), we get

⇒ 0 = √26 √30 cos θ

⇒ cos θ = 0

So, the angle between

Now, we have to find the vector which is perpendicular to

A vector perpendicular to both

Rate this question :

Find the angle between two vectors and with magnitudes 1 and 2 respectively and when

Mathematics - Board Papers

If two vectors and are such that and then find the value of

Mathematics - Board PapersShow that area of the parallelogram whose diagonals are given by and is Also find the area of the parallelogram whose diagonals are

Mathematics - ExemplarUsing vectors, prove that the parallelogram on the same base and between the same parallels are equal in area

Mathematics - ExemplarFind the equation of a line passing through the point P(2, - 1, 3) and perpendicular to the lines

and

Mathematics - Board PapersUsing vectors, find the area of the triangle ABC with vertices A (1, 2, 3), B (2, –1, 4) and C(4, 5, –1).

Mathematics - Board PapersFind the angle between the vectors and if and hence find a vector perpendicular to both and

Mathematics - Board Papers