Home
Class 12
MATHS
Let a=12hati+nhatj and |a|=13, find th v...

Let `a=12hati+nhatj and |a|=13`, find th value of n.

Text Solution

Verified by Experts

Here, `a=12hati+nhatj`
`implies|a|=sqrt(12^(2)+n^(2))=13`
`implies144+n^(2)=169`
`impliesn^(2)=25` or `n=+-5`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 1|7 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 2|17 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

If the position vector vec a of a point (12,n) is such that |vec a|=13, find the value of n.

If the position vector vec a of a point (12,n) is such that |vec a|=13, find the value (s) of n.

If vecA= 4hati+nhatj-2hatk and vecB=2hati+3hatj+hatk , then findt the value of n so that vecA bot vecB .

If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr.(3hati+4hatj-12hatk)+13 , find the values of p.

There are nAM's between 1&31 such that 7 th mean :(n-1)th mean =5:9, then find the value of n

There are 'n' A.M.'s between 2 and 41. The ratio of 4th and (n - 1)th mean is 2 : 5, find the value of n.

If (n+1)! =12 xx [(n-1)!] , find the value of n.

If (n+1)! =12xx(n-1)! , find the value of n.

If the mean of n observations is 12 and the sum of the observations is 132, then find the value of n.