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

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