Home
Class 12
MATHS
If vec(a)= hati - hatj, bar(b) = hat(i) ...

If `vec(a)= hati - hatj, bar(b) = hat(i) + hat(j), vec(c) = hat(i) + 3hat(j) + 5hat(k)` and `vec(n)` be a unit vector such that `vec(b) vec(n) =0, vec(a), vec(n) = 0` then value of `|vec(c) vec(n)|` is

A

1

B

3

C

5

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If vec(a)= hat(i) - 2hat(j) + 5hat(k) and vec(b) = 2hat(i) + hat(j) -3hat(k) , then (vec(b) - vec(a)).(3 vec(a) +vec(b)) equal to?

If vec(a) = hat(i) + hat(j) + 2 hat(k) and vec(b) = 3 hat(i) + 2 hat(j) - hat(k) , find the value of (vec(a) + 3 vec(b)) . ( 2 vec(a) - vec(b)) .

Let vec(a)=2vec(j)-3vec(k),vec(b) = hat(j)+3hat(k) and vec(c)=3vec(i)+3hat(j)+hat(k) . Let hat(n) be a unit vector such that vec(a).hat(n)=vec(b).hat(n)=0 . What is the value of vec(c).hat(n) ?

If vec(a)=2hat(i)+2 hat(j)+3hat(k), vec(b)=-hat(i)+2hat(j)+hat(k) and vec(c)=3hat(i)+hat(j) are three vectors such that vec(a)+t vec(b) is perpendicular to vec(c) , then what is t equal to ?

If vec(A) = hat(i) + hat(j) + hat(k) and B = -hat(i) - hat(j) - hat(k) . Then angle made by (vec(A) - vec(B)) with vec(A) is :

If vec(a)=7hat(i)-2hat(j)+3hat(k), vec(b)=hat(i)-hat(j)+2hat(k), vec(c )=2hat(i)+8hat(j) , then find vec(a).(vec(b)xx vec(c )) and (vec(b)xx vec(c )).vec(a) .

If vec a = hat i + hat j, vec b = hat i + hat k, vec c = hat k + hat i, a unit vector parallel to vec a + vec b + vec c

Let a vector vec(a) be coplanar with vectors vec(b) = 2hat(i) + hat(j) + hat(k) and vec(c) = hat(i) - hat(j) + hat(k) . If vec(a) is perpendicular to vec(d) = 3hat(i) + 2hat(j) + 6hat(k) , and |vec(a)| = sqrt(10) . Then a possible value of [[vec(a),vec(b),vec(c)]] + [[vec(a), vec(b), vec(d)]] + [[vec(a),vec(c),vec(d)]] is equal to :

If vec(a)= hat(i) - 2hat(j) + 5hat(k), vec(b)= 2hat(i) +hat(j)- 3hat(k) then what is (vec(a)- vec(b)).(3 vec(a) +vec(b)) equal to ?