vector algebra (2)

A vector whose magnitude is one is called by

• Null vector

• Unit vector

• Initial vector

• Equal vector

What is the properties of null vector ?

• It has zero magnitude

• Initial and terminal point are same

• It is also known by zero vector

• All of the above

Find the wrong statement

• Vector c and vector d are collinear vectors

• Vector a and vector b are coinitial vector

• Vector a and vector c are collinear vector

• Vector b and vector d are coinitial vector

Find the magnitude of the vector -3i-5j-4k.

• 25

• 50

• 2√5

• 5√2

What is the position vector of the point (2,-7,-3).

• 2i+7j+3k

• 2i-7j-3k

• 2i+7j-3k

• 2i-7j+3k

What is the vector whose initial point is (-2,4,5) and terminal point is (1,2,3).

• 3i-2j-2k

• -3i+2j+2k

• -3i-2j-2k

• 3i+2j+2k

Which one is the unit vector

• 1/2 i + 1/2 j + 1/2 k

• i + j + k

• 1/√3 i - 1/√3 j - 1/√3 k

• 1/3 i + 1/3 j + 1/3 k

If 2i + 3j + 4k = xi - yj - zk then the value of x+y+z+xyz

• 33

• 19

• 29

• None of yhe above

Vector 2i-3j-2k and vector -2i+3j+2k are given, which is wrong for them?

• Equal vector

• Co initial vector

• Co negative vector

• Collinear vector

If magnitude of a vector OP is 7 then what is the magnitude of 3(OP)

• 7/3

• 21

• 10

• 3/7