If lambda(2bar(i)-4bar(j)+4bar(k)) is a ...

If `lambda(2bar(i)-4bar(j)+4bar(k))` is a unit vector then `lambda=`

`pm1/4`

`pm1/7`

`pm1/5`

`pm1/6`

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

If bar(a)=bar(i)+bar(j)+bar(k) and bar(b)=2bar(i)-3bar(j)-bar(k) , find the unit vector in the direction of bar(a)+bar(b) .

If vectors -3bar(i)+4bar(j)+lambdabar(k), mubar(i)+8bar(j)+6bar(k) are collinear vectors then find lambda & mu .

If the position vectors of A, B are 2bar(i)-9bar(j)-4bar(k), 6bar(i)-3bar(j)+8bar(k) then the unit vector in the direction of vec(AB) is

If bar(i), bar(j), bar(k) are unit vectors along the positive directions of the coordinate axes, then shown that the four points 4 bar(i) + 5 bar(j) + bar(k), - bar(j) - bar(k), 3 bar(i) +9 bar(j) + 4 bar(k) and - 4 bar(i) + 4 bar(j) + 4 bar( k) are coplanar

If the vectors - 3 bar(i) + 4 bar(j) + lambda bar(k) and mu bar(i)+ 8 bar (j) + 6 bar(k) are collinear vectors, then find lambda and mu

If vectors lambda bar(i) - 3bar(j)+5bar(k), 2lambda bar(i) - lambdabar(j) - bar(k) are perpendicular to each other find lambda .

If the vectors lambda bar(i)-3bar(j)+5bar(k), and 2lambdabar(i)-lambda(j)-bar(k) , are perpendicular to each other find lambda .

Let bar(a) = 2bar(i) +4bar(j)-5bar(k), bar(b) = bar(i)+bar(j)+bar(k), bar(c ) = bar(j)+2bar(k) . Find the unit vector in the opposite direction of a + b + c

If bar(a)=2bar(i)-3bar(j)+5bar(k),bar(b)=-bar(i)+4bar(j)+2bar(k) , then find (bar(a)+bar(b))xx(bar(a)-bar(b)) and unit vector perpendicular to both bar(a)+bar(b)andbar(a)-bar(b)

AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - I

The position vectors of A and B are bar(a) and bar(b) respectively. If...
Text Solution
|
If lambda(2bar(i)-4bar(j)+4bar(k)) is a unit vector then lambda=
Text Solution
|
If bar(a)=bar(i)+bar(j), bar(b)=bar(j)+bar(k), bar(c)=bar(i)+bar(k), t...
Text Solution
|
The unit vector(s) parallel to bar(i)-3bar(j)-5bar(k) is
Text Solution
|
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
|