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.
Pointing to a photo Sunita said, she is my brother-in-law’s only sister. How is that women in photo related to Sunita?
In the following question, three statements are given and there are four conclusions given in the options. Find the correct conclusion among the five op...
Which of the following groups of letters when sequentially placed from left to right will complete the given series?
jklmnojklmnoj_Imnojk_m_ojk...
Pick up the pair that best illustrates a similar relationship.
Weight: Kilogram
In a certain code language, 'SPIT' is coded as ‘USKW’ and 'COPY' is coded as ‘ERRB’.
How will 'MOCK' be coded in that language?
The rectangle represents a set of calculations that are common across all the given equations. Identify the calculations involved and solve the third eq...
If each of the letters of the word 'STADIUM' are re-arranged in the English alphabetical order, then the position of which letter will remain unchanged?
What will come in the place of '?' in the following equation, if '+' and '–' are interchanged and '×' and '÷' are interchanged?
357 × 7 + 19...
Kabir is facing the South. He takes a right turn and drives 20 km. Then takes a right turn and drives 30 km. Then takes a left turn and drives 15 km. Fi...
Select the option that is related to the third figure in the same way as the second figure is related to the first figure.
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