If the vectors phat(i)-5hat(j)+6hat(k) "...

If the vectors `phat(i)-5hat(j)+6hat(k) " and " 2hat(i)-3hat(j)-qhat(k)` are collinear, find p and q.

Text Solution

Verified by Experts

The correct Answer is:

`p=10/3, q=-18/5`

Topper's Solved these Questions

VECTOR
CHHAYA PUBLICATION|Exercise EXERCISE - LONG ANSWER TYPE QUESTIONS|21 Videos
VECTOR
CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION|18 Videos
VECTOR
CHHAYA PUBLICATION|Exercise EXERCISE - VERY SHORT ANSWER TYPE QUESTIONS|17 Videos
TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES
CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

Determine the values of p and q for which the vectors phat(i)+2hat(j)+6hat(k) " and " 3hat(i)-3hat(j)+qhat(k) are parallel.

(i) Determine the value of p for which the vectors phat(i)-5hat(j) " and " 2hat(i)-3hat(j) are collinear. (ii) The sides AB and BC of the triangle ABC are represented by the vectors 2hat(i)-hat(j)+2hat(k) " and " hat(i)+3hat(j)+5hat(k) respectively, find the vector representing side CA of the triangle ABC.

Given that the points with position vectors 12hat(i)-5hat(j), 10hat(i)+3hat(j) " and " xhat(i)+11hat(j) are collinear, find x.

If the points having position vectors hat(i)+bhat(j)+chat(k), 7hat(i)+2hat(j)+6hat(k) " and " 5hat(i)+2hat(j)+5hat(k) are collinear, find the values of b and c.

Show that the poins whose position vectors are 4hat(i)+5hat(k),hat(i)+hat(j)+3hat(k)" and "-5hat(i)+3hat(j)-hat(k) are collinear.

If vectors vec(alpha)=2hat(i)+3hat(j)-6hat(k) " and " vec(beta)=phat(i)-hat(j)+2hat(k) are parallel, then the value of p is -

Show that the vectors 2hat(i)-hat(j)+hat(k), hat(i)-3hat(k)-5hat(k) " and " -2hat(i)+3hat(j)-4hat(k) are the sides of a right-angled triangle.

Find a unit vector in direction parallel to the sum of the vectors vec(a)=2hat(i)+4hat(j)-5hat(k) " and " vec(b)=hat(i)+2hat(j)+3hat(k) , find also the direction cosines of this vector.

The position vectors of the points A and B are 3hat(i)-hat(j)+7hat(k) " and " 4hat(i)-3hat(j)-hat(k) , find the magnitude and direction cosines of vec(AB)

For what values of p and q the vectors 2 hat (i) + p hat (j) - 3 hat (k) and q hat (i) - 4 hat (j) + 2 hat (k) are parallel ?

CHHAYA PUBLICATION-VECTOR-EXERCISE - SHORT ANSWER TYPE QUESTIONS

If vec(a)=hat(i)+2hat(j)-hat(k) " and " vec(b)=3hat(i)+hat(j)-5hat(k),...
Text Solution
|
Let vec(a)=4hat(i)+3hat(j)-hat(k), vec(b)=5hat(i)+2hat(j)+2hat(k), vec...
Text Solution
|
Show that the vectors 2hat(i)-hat(j)+hat(k), hat(i)-3hat(k)-5hat(k) " ...
Text Solution
|
If the position vectors of the points A, B C are 3hat(i)-4hat(j)-4hat(...
Text Solution
|
If vec(a), vec(b), vec(c) are three given vectors, show that the point...
Text Solution
|
If vec(a)=hat(i)+hat(j)-4hat(k) " and " vec(b)=4hat(i)-hat(j)-2hat(k),...
Text Solution
|
If the position vectors of the points A, B, C are -2hat(i)+2hat(j)+2ha...
Text Solution
|
If the coordinates of the points A, B and C are (2, 6, 3), (1, 2, 7) ...
Text Solution
|
The position vectors of three points are (a) -2hat(i)+3hat(j)+5hat(k...
Text Solution
|
If the vectors phat(i)-5hat(j)+6hat(k) " and " 2hat(i)-3hat(j)-qhat(k)...
Text Solution
|
If the points having position vectors hat(i)+bhat(j)+chat(k), 7hat(i)+...
Text Solution
|
The position vecors of the points A and B are 4hat(i)-3hat(j)+5hat(k) ...
Text Solution
|
If vec(AB)=2hat(i)-4hat(j)+5hat(k) " and " vec(BC)=hat(i)-2hat(j)-3hat...
Text Solution
|
The position vectors of the points A and B are 2vec(a)+vec(b) " and " ...
Text Solution
|
Show that the vector hat(i)+hat(j)+hat(k) makes the same angle with th...
Text Solution
|
Let D, E, F are the midpoints of the sides bar(BC), bar(CA) " and " ba...
Text Solution
|
If vec(AO)+vec(OB)=vec(BO)+vec(OC), show that the points A, B and C ar...
Text Solution
|