Home
Class 12
MATHS
If the positions vectors of three consec...

If the positions vectors of three consecutive vertices of a parallelogram are `hat i+ hat j+ hat k, hat i+3 hat j+5 hat k and 7 hat i+9 hat j+11 hat k` then the coordinates of the fourth vertex are a)(2,1,3) b)(6,7,8) c)(4,1,3) d)(7,7,7)

A

(2,1,3)

B

(6,7,8)

C

(4,1,3)

D

(7,7,7)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If the vectors 4hat(i) + 11hat(j) + m hat(k), 7hat(i) + 2hat(j) + 6hat(k) and hat(i) + 5hat(j)+ 4hat(k) are coplanar, them m is equal to .

Find the dot product of vec A= A_x hat i + A_y hat j + A_z hat k and vec B= B_x hat i+ B_y hat j + B_z hat k

If the vectors vec(a) = 2hat(i) + hat(j) + 4hat(k), vec(b) = 4hat(i) - 2hat(j) + 3hat(k) and vec(c) = 2hat(i) - 3hat(j) - lambda hat(k) are coplanar, then findvalue of lambda

Find a vector of magnitude 6 and perpendicular to both vec(a) = 2hat(i) + 2hat(j) + hat(k) and vec(b) = hat(i) - 2hat(j) + 2hat(k)

The straight line r = (hat(i) + hat(j) + hat(k)) + alpha (2hat(i) - hat(j) + 4hat(k)) meets the XY - plane at the point

Let bar(a)= hat(i) + hat(j) + hat(k), bar(b)= hat(i) + 3hat(j) + 5hat(k) and bar(c )= 7hat(i) + 9hat(j) + 11hat(k) . Then, the area of the parallelogram with diagonals bar(a) + bar(b) and bar(b) + bar(c ) is

If a = 2 hat(i) - hat(j) - m hat(k) and b = (4)/(7)hat(i) - (2)/(7)hat(j) + 2hat(k) are collinear, then the value of m is equal to a) -7 b) -1 c)2 d)7