KINEMATICS: VECTOR PRODUCT SET 2

        

Q1 Two vectors 2i +3j +8k and 4j+ 6j+ αk are parallel to each other. What is the value of α? ( Read i = unit vector i an so on)

• a. 1⁄2
• b. 16
• c. 1
• d. -1

• b. 16

Q2  If A× B = A.B then the angle between A and B will be ( Read A X B as vector A cross Vector B )

• a. π
• b. π/2
• c. π/3
• d. π/4

• d. π/4

Q3  If the sum of two vectors is perpendicular to the difference between them. The ratio of their magnitude will be 

• ( a) 2 
• (b) 4
• (c) 3 
• (d) 1

• (d) 1

Q4 The vectors A and B are such that their sum is equal to their difference. The angle between these two vectors will be 

• a) `90^{0}`
• b) `0^{0}`
• c) `40^{0}`
• d) `180^{0}`

• a) `90^{0}`

Q5  If `P⃗` ×`Q⃗` =`R⃗` , then which of the following statements is true? 

• a) `P⃗` 丄`Q⃗`
• b) `R⃗` 丄`Q⃗`
• c)  `R⃗` 丄 both `Q⃗` and P⃗
• d) `R⃗` 丄 (`P⃗` X`Q⃗`)

• d) `R⃗` 丄 (`P⃗` X`Q⃗`)

Q6 The cross product of the vectors A=2i +5 k and B=3 i + 4 k is

• a. 7j
• b. 36j
• c. 24i
• d. 34k
  • a. 7j

  Q7  The length indicates the _______ of the vector, whereas the arrow indicates the _______ of vector.

  • a) magnitude, direction
  • b) direction, magnitude
  • c) Both a and b are correct
  • d) None of these
  
  

  • a) magnitude, direction

  Q8 The rain falling vertically downward with the velocity of 3km/hr. A person moves on a straight road with the velocity of 4 km/hr then the relative velocity of rain w.r.t. person is

  • a) 1 km/hr
  • b) 5 km/hr
  • c) 4 km/hr
  • d) 3km/hr
  • b) 5 km/hr 

  Q9.  Cross product of vectors also known as Scalar product.

  • a) True
  • b) false
  • b) false

  Q10 If the given vectors are collinear, then their cross product is

  __________ vector.

  • a) Unit Vector 
  • b) null vector
  • c) collinear vector
  • d) None of the above
  • b) null vector