Home
Class 12
MATHS
If a hat(i) + 6hat(j) - hat(k) and 7hat(...

If `a hat(i) + 6hat(j) - hat(k) and 7hat(i) -3hat(j) + 17hat(k)` are perpendicular vectors, then the value of a= ….

A

5

B

`1//7`

C

7

D

`-5`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If the vecotrs a hat(i) + hat(j) -2 hat(k) and -12 hat(i) + 4hat(j) + 8 hat(k) are perpendicular then the value of a is equal to

If vec(a) = x hat(i) + 2hat(j) - zhat(k) and vec(b) = 3hat(i) - y hat(j) + hat(k) are two equal vectors, then write the value of x+y+z.

Write the value of lambda so that the vectors vec(a) = 2hat(i) + lambda hat(j) + hat(k) and vec(b) = hat(i) - 2hat(j) + 3hat(k) are perpendicular to each other ?

Find the value of lambda if the vectors vec(a) = 3hat(i) + hat(j) - 2hat(k) and vec(b) = hat(i) + lambda hat(j) - 3hat(k) are perpendicular to each other.

If a=2hat(i)+2hat(j)+3hat(k),b=hat(i)+2hat(j)+hat(k) and c=3hat(i)+hat(j) such that a+lambda b is perpendicular to c, then find the value of lambda .

If the vectors 2hat(i) + 3hat(j) - 6hat(k) and 4hat(i) - m hat(j) - 12 hat(k) are parallel find m.

If vec(a) = hat(i) - hat(j) + 7hat(k) and vec(b) = 5hat(i) - hat(j) + lambda hat(k) , then find the value of lambda so that vec(a) + vec(b) and vec(a) - vec(b) are perpendicular vectors.

The scalar product of the vector vec(a) = hat(i) + hat(j) + hat(k) with a unit vector along the sum of vectors vec(b) = 2hat(i) + 4hat(j) - 5hat(k) and vec(c ) = lambda hat(i) + 2hat(j) + 3hat(k) is equal to one. Find the value of lambda and hence find the unit vector along vec(b) + vec(c ) .