Home
Class 12
MATHS
The components of a vectors overset(to)...

The components of a vectors `overset(to)(a)` along and perpendicular to a non-zero vectors `overset(to)(b) ` are …….and …….. Respectively.

Text Solution

Verified by Experts

The correct Answer is:
`((overset(to)(a)"."overset(to)(b))/(|overset(to)(b)|^(2))) overset(to)(b) " and " overset(to)(a) - ((overset(to)(a)"."overset(to)(b))/(|overset(to)(b)|^(2)))overset(to)(b)`
Vector component of `vec(a) ` along and perpendicular to `vec(b)` are
`((vec(a)"."vec(b))/(|vec(b)|^(2)))vec(v) " and " vec(a) = ((vec(a)"." vec(b))/(|vec(b)|^(2)))vec(b)`
Promotional Banner

Similar Questions

Explore conceptually related problems

The components of a vector veca along and perpendicular to a non-zero vector vecb are ________ and ___________, respectively.

Components of vector along and perpendicular a vector

Find the vector components of a vector 2hati+3hatj+6hatk along and perpendicular to the non zero vector 2hati+hatj+2hatk

Find the vector component of a vector 2hat(i)+3hat(j)+6hat(k) along and perpendicular to the non-zero vector 2hat(i)+hat(j)+2hat(k) .

Let overset(to)(a) =a_(1) hat(i) + a_(2) hat(j) + a_(3) hat(k) , overset(to)(a) = b_(1) hat(i) +b_(2) hat(j) +b_(3) hat(k) " and " overset(to)(a) = c_(1) hat(i) +c_(2) hat(j) + c_(3) hat(k) be three non- zero vectors such that overset(to)(c ) is a unit vectors perpendicular to both the vectors overset(to)(c ) and overset(to)(b) . If the angle between overset(to)(a) " and " overset(to)(n) is (pi)/(6) then |{:(a_(1),,a_(2),,a_(3)),(b_(1),,b_(2),,b_(3)),(c_(1),,c_(2),,c_(3)):}| is equal to

If component of one vector in the direction of another vector is zero, then those two vectors

Vector component of vector vec b perpendicular to vec a is