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If overset(rarr)A=2 hat i + 3 hat j- h...

If `overset(rarr)A=2 hat i + 3 hat j- hat k` and `overset(rarr)B=-hat i+3 hat j +4 hat k` and then projection of `overset(rarr)A` on `overset(rarr)B` will be :

A

`(3)/(sqrt(13))`

B

`(3)/(sqrt(26))`

C

`sqrt((3)/(26))`

D

`sqrt((3)/(13))`

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The correct Answer is:
B
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Find unit vectors along overset(rarr)A=hat I + hat j - 2 hat k and overset(rarr)B=hat I +2 hat j -hat k

(i) State the associative and commutative laws of vector addition. (ii) For two given vectors A=hat I + 2 hat j -3hat k , overset(rarr)B=2 hati -hat j + 3 hatk find the vector sum of overset(rarr)A and overset(rarr)B also find the magnitude of (overset(rarr)A+overset(rarr)B)

Dot product of two vectors overset(rarr)A and overset(rarr)B is defined as overset(rarr)A.overset(rarr)B=aB cos phi , where phi is angle between them when they are drawn with tails coinciding. For any two vectors . This means overset(rarr)A . overset(rarr)B=overset(rarr)B. overset(rarr)A that . The scalar product obeys the commutative law of multiplication, the order of the two vectors does not matter. The vector product of two vectors overset(rarr)A and overset(rarr)B also called the cross product, is denoted by overset(rarr)A xx overset(rarr)B . As the name suggests, the vector product is itself a vector. overset(rarr)C=overset(rarr)A xx overset(rarr)B then C=AB sin theta , overset(rarr)A=hat i+ hat j-hatk and overset(rarr)B=2 hat i +3 hat j +5 hat k angle between overset(rarr)A and overset(rarr)B is

If overset(rarr)A=(2 hat i+2 hat j + 2 hat k) and overset(rarr)B=(3 hat i+ 4 hat j) Determine the vector having magnitude as overset(rarr)B and parallel to . overset(rarr)A

If vec(a) = 2 hat(i) + hat(j) + 2hat(k) and vec(b) = 5hat(i)- 3 hat(j) + hat(k) , then the projection of vec(b) on vec(a) is

If vec(a) = 2hat(i) + hat(j) - hat(k) and vec(b) = hat(i) - hat(k) , then projection of vec(a) on vec(b) will be :

If vec(a) = 2 hat(i) - hat(j) + hat(k) and vec(b) = hat(i) - 2 hat(j) + hat(k) then projection of vec(b)' on ' vec(a) is

If vec(A)=2hat(i)+3hat(j)-hat(k) and vec(B)=-hat(i)+3hat(j)+4hat(k) , then find the projection of vec(A) on vec(B) .

Following forces start acting on a particle at rest at the origin of the co-ordinate system overset(rarr)F_(1)=-4 hat I -5 hat j +5hat k , overset(rarr)F_(2)=5hat I +8 hat j +6hat k , overset(rarr)F_(3)=-3hat I + 4 hat j - 7 hat k and overset(rarr)F_(4)=2hat i - 3 hat j - 2 hat k then the particle will move

Given vector overset(rarr)A=2 hat I +3hatj , the angle between overset(rarr)A and y-axis is :

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