If 3bar(i)+3bar(j)+sqrt(3)bar(k), bar(i)...

If `3bar(i)+3bar(j)+sqrt(3)bar(k), bar(i)+bar(k), sqrt(3)bar(i)+sqrt(3)bar(j)+lambdabar(k)` are coplanar then `lambda=`

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

PROPERTIES OF VECTORS
AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos
PROPERTIES OF VECTORS
AAKASH SERIES|Exercise EXERCISE - I|31 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(i)-2bar(j), 3bar(j)+bar(k), lambdabar(i)+3bar(j) are coplanar then lambda=

If the point whose position vectors are 3bar(i)-2bar(j)-bar(k), 2bar(i)+3bar(j)-4bar(k), bar(i)+bar(j)-2bar(k), 4bar(i)5bar(j)+lambdabar(k) are coplanar, then show that lambda = -46/7 .

If the points whose position vectors are 3bar(i) -2bar(j)-bar(k), 2bar(i)+3bar(j)-4bar(k), -bar(i)+bar(j)+2bar(k), 4bar(i)+5bar(j)+lambdabar(k) are coplanar, then show that lambda = -146/17 .

If the vectors bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) + 2bar(j)-3bar(k), bar(c ) = 3bar(i) + pbar(j) +5bar(k) are coplanar then find p.

If bar(a)=bar(i)-2bar(j)+bar(k), bar(b)=4bar(i)+2bar(j)-bar(k), bar(c)=bar(i)+2bar(j)-bar(k) and bar(a)+lambdabar(b) is parallel to bar(c) then lambda=

The number of distinct real values of lambda for which the vectors -lambda^(2)bar(i)+bar(j)+bar(k), bar(i)-lambda^(2)bar(j)+bar(k), bar(i)+bar(j)-lambda^(2)bar(k) are coplanar is

Prove that vectors bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) -bar(3j)-5bar(k) and bar(c ) = 3bar(i) - 4bar(j) -4bar(k) are coplanar.

Let bar(a)=bar(i)+bar(j), bar(b)=bar(j)+bar(k) and bar(c)=alphabar(a)+betabar(b) . If the vectors bar(i)-2bar(j)+bar(k), 3bar(i)+2bar(j)-bar(k) and bar(c) are coplanar then alpha/beta equals

The vectors 2bar(i)-3bar(j)+bar(k), bar(i)-2bar(j)+3bar(k), 3bar(i)+bar(j)-2bar(k)

AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - II

The point of intersection of the line passing through bar(i)-2bar(j)-b...
Text Solution
|
Statement-I : If two vectors are collinear then those vectors are copl...
Text Solution
|
Statement-I : Two non zero, non collinear vectors are linearly indepen...
Text Solution
|
The descending order of magnitudes of the vectors A=(i-j)/sqrt(2), B=b...
Text Solution
|
If D, E, F are mid points of sides BC, CA, AB of triangle ABC and G is...
Text Solution
|
Observe the following statements : Assertion (A) : Three vectors are...
Text Solution
|
If the vector bar(a)=2bar(i)+3bar(j)+6bar(k) and bar(b) are collinear ...
Text Solution
|
If three points A, B and C have position vectors (1, x, 3), (3, 4, 7) ...
Text Solution
|
If the points whose position vectors are 2bar(i)+bar(j)+bar(k), 6bar(i...
Text Solution
|
Let bar(b)=bar(i)-2bar(j)+3bar(k), bar(a)=2bar(i)+3bar(j)-bar(k) and b...
Text Solution
|
The points whose position vectors are 2bar(i)+3bar(j)+4bar(k), 3bar(i)...
Text Solution
|
If bar(i)-2bar(j), 3bar(j)+bar(k), lambdabar(i)+3bar(j) are coplanar t...
Text Solution
|
If 3bar(i)+3bar(j)+sqrt(3)bar(k), bar(i)+bar(k), sqrt(3)bar(i)+sqrt(3)...
Text Solution
|
If bar(a)=bar(i)+4bar(j), bar(b)=2bar(i)-3bar(j) and bar(c)=5bar(i)+9b...
Text Solution
|
If bar(a), bar(b)&bar(c) are non-coplanar vectors and if bar(d) is suc...
Text Solution
|
Three non-zero non-collinear vectors bar(a), bar(b), bar(c) are such t...
Text Solution
|
The vectors 2bar(i)-3bar(j)+bar(k), bar(i)-2bar(j)+3bar(k), 3bar(i)+ba...
Text Solution
|
For three vectors bar(p), bar(q) and bar(r)" if "bar(r)=3bar(p)+4bar(q...
Text Solution
|
ABCDEF is a regualar hexagon whose centre is O. Then bar(AB)+bar(AC)+b...
Text Solution
|
P, Q, R and S are four points with the position vectors 3bar(i)-4bar(j...
Text Solution
|