Question

12. The coordinate systems (a) i.i=j.j=k.k=1, (b) i.j =j.k=k.i=0, (c) ixi=jxj=kxk=0 and
(d) ixj=-k kxi=j jxk=-i. Which one of them is incorrect?
A.(a)
B. (b)
C.(C)
D. (d)
fmolu (the value of oravitational null. o=980cm/s?​

Answer 1

Answer:

c

Explanation:

i cant explain

Answer 2

Option (D) is the incorrect option

• The i, j, k are the unit vectors in an orthogonal coordinate system.
• Being orthogonal, they are perpendicular to each other.
• We know that the dot product of a vector with itself = 1
• i .i = 1 = j .j = k.k
• For perpendicular vectors, the dot product is always zero.
• i.j = j.k = k.i =0
• The cross product of any vector with itself is zero as the angle between parallel or colinear vector is zero
• Using the right hand thumb rule,

i x j = k

k x i = j

j x k= i

• Hence, Option D is incorrect