Home
Class 11
PHYSICS
The angle between vecA = hati + hatj and...

The angle between `vecA = hati + hatj and vecB = hati - hatj` is

A

`5^(@)`

B

`90^(@)`

C

`-45 ^(@)`

D

`180^(@)`

Text Solution

Verified by Experts

`90^(@)`
Explanation :
`vecA. vecB= (hati + hatj) . (hati - hatj)`
or,` vecA. vecB = hati. hati + hatj . hati - hatj . hatj - hatj hatj`
or,` vecA. vecB = 1 + 0-0 -1`
`or, veca, vecb = 0 `
or, `vec A. vecB cos theta = 0`
`or , cos theta = 0,`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE QUESTION PAPER-2

    ICSE|Exercise SECTION-B|13 Videos

  • SAMPLE QUESTION PAPER-2

    ICSE|Exercise SECTION-C|9 Videos

  • SAMPLE QUESTION PAPER 5

    ICSE|Exercise SECTION - D (Answer all questions.)|6 Videos

  • SAMPLE QUESTION PAPER-3

    ICSE|Exercise SECTION-D|6 Videos

Similar Questions

Explore conceptually related problems

Find angle between vecA = 3 hati + 4 hatj and vecB = 12 hati + 5 hatj?

find vecA xx vecB if vecA = hati - 2 hatj + 4 hatk and vecB = 3 hati - hatj + 2hatk

Let a vector veca =alpha hati + 2hatj + beta hatk (alpha, beta in R) , veca lies in the plane of the vectors, vecb= hati + hatj and vecc= hati -hatj+4hatk . If veca bisects the angle between vecb and vecc , then :

IF vecA = (2 hati + hatj) and vecB = hati - hatj + 5 hatk find (i) vecA xx vecB (ii ) angle between vecA and vecB (iii ) unit vector perpendicular to vecA and vecB .

The vactors veca = 3hati -2hatj + 2hatk and vecb =- hati -2hatk are the adjacent sides of a parallelogram. Then , the acute angle between veca and vecb is

Find the vector of magnitude 3, bisecting the angle between the vectors veca=2hati+hatj-hatk and vecb=hati-2hatj+hatk .

If vecA = 3hati - 4hatj and vecB = -hati - 4hatj , calculate the direction of vecA- vecB .

Find the sine of the angle between the vectors veca=2hati-hatj+3hatk and vecb=hati+3hatj+2hatk .

The angle between the two vectors vecA=hati+2hatj-hatk and vecB=-hati+hatj-2hatk

A unit vector veca in the plane of vecb=2hati+hatj and vecc=hati-hatj+hatk is such that angle between veca and vecd is same as angle between veca and vecb where vecd=vecj+2veck . Then veca is