If a straight line makes an angle cos^(-...

If a straight line makes an angle `cos^(-1)(1/sqrt(3))` with each of the positive x, y and z-axis, a vector parallel to that line is

`bar(i)`

`bar(i)+bar(j)`

`bar(j)+bar(k)`

`bar(i)+bar(j)+bar(k)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PROPERTIES OF VECTORS
AAKASH SERIES|Exercise EXERCISE - II|77 Videos
PROPERTIES OF VECTORS
AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos
PROPERTIES OF VECTORS
AAKASH SERIES|Exercise ADDITIONAL EXERCISE|10 Videos
PROPERTIES OF TRIANGLES
AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (Linked Comprehension Type Questions Passage -III:)|3 Videos
RATE MEASUREMENT
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight line which makes and angle 60^(@) with the positive direction of x-axis and the y-intercept cut of by it is 3.

If a line makes an angle of pi//4 with the positive directions of each of x-axis and y-axis, then the angle that the line makes with the positive direction of the z-axis is

If a line makes angles 60^(@), 60^(@) with the positive x-axis and y-axis then the angle made by the line with positive z-axis is

A straight line through P(3,4) makes an angle of 60^(@) with the positive direction of the X-axis. Find the coordinates of the points with the line whre are 5 units away from P.

A straight line passing through (1, 1, 1) makes an angle of 60^(@) with the positive direction of the z-axis, and the cosines of the angles made with the positive directions of y, x-axis are in the ratio sqrt(3):1 . Then the acute angle between the two possible positions of the line is

If a line makes angles cos^(-1)(1//5),cos^(-1)(3//5) with X and Y- axes respectively, then the angle made by the line with Z-axis is

If the straight line through the point P(3,4) makes an angle pi//6 with the x-axis in the positive direction and meets the line 3x+5y+1=0 at Q the length PQ is

AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - I

If bar(OP)=2bar(i)+3bar(j)-bar(k), bar(OQ)=3bar(i)-4bar(j)+2bar(k) the...
Text Solution
|
Unit vector making angles pi/6, pi/6, pi/3 with bar(i), bar(j), bar(k)...
Text Solution
|
If a straight line makes an angle cos^(-1)(1/sqrt(3)) with each of the...
Text Solution
|
If (bar(a), bar(b))=60^(@)" then "(-bar(a), -bar(b))=
Text Solution
|
Any two collinear vectors are
Text Solution
|
Any three coplanar vectors are
Text Solution
|
If bar(a) and bar(b) are two non-zero, non-collinear vectors such that...
Text Solution
|
If bar(a)=bar(i)-2bar(j)+bar(k), bar(b)=4bar(i)+2bar(j)-bar(k), bar(c)...
Text Solution
|
If bar(a)=bar(i)+2bar(j)+2bar(k) and bar(b)=3bar(i)+6bar(j)+2bar(k) th...
Text Solution
|
If 2bar(i)+3bar(j)-6bar(k), 6bar(i)-2bar(j)+3bar(k) are two consecutiv...
Text Solution
|
If ABCD is a parallelogram such that bar(AB)=bar(a), bar(BC)=bar(b)" t...
Text Solution
|
A point C = (5a + 4b - 5c)/(3) divides the line joining A = a - 2b + 3...
Text Solution
|
P, Q, R, S have position vectors bar(p), bar(q), bar(r), bar(s) respec...
Text Solution
|
The ratio in which the line segment joining the points with P.V.'s bar...
Text Solution
|
The ratio in which bar(i)+2bar(j)+3bar(k) divides the join of -2bar(i)...
Text Solution
|
Let 'O' be the origin and A, B be two points. bar(p), bar(q) are vecto...
Text Solution
|
The vector equation of the line passing through the point 2bar(i)+bar(...
Text Solution
|
The equation to the line passing through the points A(bar(i)+bar(j)+ba...
Text Solution
|
The cartesian equation of the line passing through the point (2, -1, 4...
Text Solution
|
The cartesian equation to the line passing through the points A(1, 2, ...
Text Solution
|