The velocity of particle is `3hat(i) +2hat(j)+3hat(k)`. Find the vector component of the velocity along the line `hat(i) -hat(j)+hat(k)`.

Question

The velocity of particle is `3hat(i) +2hat(j)+3hat(k)`. Find the vector component of the velocity along the line `hat(i) -hat(j)+hat(k)`.

The velocity of particle is `3hat(i) +2hat(j)+3hat(k)`. Find the vector component of the velocity along the line `hat(i) -hat(j)+hat(k)`.
A. `(4)/(3)(hat(i)-hat(j)+hat(k))`
B. `(2)/(3)(hat(i)+hat(j)+hat(k))`
C. `(2)/(3)(3hat(i)+2hat(j)+3hat(k))`
D. None

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

Related Questions

There are two vectors Force `vec(A) = (hat(i) + 3 hat(j) - hat(k)) N` and Position `vec(B) = (hat(i) + 3 hat(j) - hat(k))m` that can be used by two st

2 Answers 5 Views

A line passes through the point with position vector `2 hat i-3 hat j+4 hat k` and is in the direction of `3 hat i+4 hat j-5 hat kdot` Find the equati

2 Answers 4 Views

Line `L_1` is parallel to vector ` vecalpha=-3 hat i+2 hat j+4 hat k` and passes through a point `A(7,6,2)` and line `L_2` is parallel vector ` vecbet

2 Answers 8 Views

Find the equation of the sphere described on the joint of points `Aa n dB` having position vectors `2 hat i+6 hat j-7 hat ka n d-2 hat i+4 hat j-3 hat

2 Answers 5 Views

`vec(A)=hat(j)-2hat(i)+3hat(k) " , "vec(B)= hat(i)+2hat(j)+2hat(k)` find `vec(A).vec(B)`

2 Answers 4 Views

Two forces are acting on a same body `vec(F_(1))=(2hat(i)+3hat(j)-hat(k))` and `vec(F_(2))=(hat(i)+2hat(j)+4hat(k))`, then find component of `vec(F_(1

2 Answers 5 Views

If the resultant of three forces `vec(F)_(1)=phat(i)+3hat(j)-hat(k),vec(F)_(2)=-5hat(i)+hat(j)+2hat(k)` and `vec(F)_(3)=6hat(i)-hat(k)` acting on a pa

2 Answers 5 Views

2 Answers 4 Views

निम्नलिखित सदिशों की बीच कोण ज्ञात कीजिए- ` (i) overset to a=2hat i -6hatj+3hatk ` और ` overset to b=hat i +2hat j -2hat k ` ` (ii) oversetto a =6hati

2 Answers 5 Views

निम्नलिखित रेखाओ और समतलों के बीच का कोण ज्ञात कीजिए रेखा ` overset to r=(hat i+2hat j-hat k )+lambda (hat i -hat j+hat k )` और समतल `overset to r .(2

2 Answers 14 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - A
Here `vec(v)=3hat(i)+2hat(j)+3hat(k)`. Let `theta` be the angle between the line and the velocity of the particle. Then
`costheta=(3-2+3)/(sqrt(22)sqrt(3))=(4)/(sqrt(66))`
`therefore` Component of velocity along this line `=|vec(v)|costheta`
`=sqrt(22)4(4)/(sqrt(66))=(4)/(sqrt(3))`
Vector component `=(4)/(sqrt(3))vec(u)` is the unit vector along the line.
But `vec(u)=(hat(i)-hat(j)+hat(k))/(sqrt(3))`
`therefore` Vector component `=(4)/(3)(hat(i)-hat(j)+hat(k))`