Question
Let a=i+j+k, b=2i+j−k, and c=a×b. The angle
between c and a is:Solution
Given the vectors: a=i+j+k b=2i+j–k c=a×b First, let's find the cross-product c=a×b: Since the dot product a ⋅ c =0, the vectors a and c are orthogonal (perpendicular). Therefore, the angle θ between c and a is π/2 or 90 degrees.
If 23 # 45 = 74 and 78 # 99 = 48, then 56 # 78 = ?
Find which one of the given words can be made from the letters of the given word.
‘ WIRELESS ’
...Statement: X < U = F > R ≥ P < T < W
Conclusions: I. X < T
II. R > W
Biz is older than Ciz but not as old as Diz. Eiz is not as old as Biz. Who is the oldest of all?
Select the option that is related to the third number in the same way as the second number is related to first number and the sixth number is related t...
Select the option that is related to the third number in the same way as the second number is related to the first number.
19: 304:: 22: ‘?’.
In the following question, select the related word from the given alternatives.
QC : VX : : KU : ?
Given set: [20, 82, 31]
Select the option that is related to the third number in the same way as the second number is related to first number and the sixth number is related t...
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE : Operations should be performed ...