vector algebra (3)

What is the unit factor in the direction Z axis ?

• i

• j

• k

Direction ratio of the vector i + j + k

• 1/√3 , 1/√3 , 1/√3

• 1 , 1, 1

• 1/3 , 1/3 , 1/3

• None of the above

What is the direction cosine of the vector. i + j+ k

• 1/√3 , 1/√3 , 1/√3

• 1 , 1, 1

• 1/3 , 1/3 , 1/3

• None of the above

What is the magnitude of the vector 2i - 3j -7k

• 10

• √10

• 62

• √62

What is the magnitude of the of the unit vector in the direction of the vector 2i + j + 2k

• 9

• 3

• 1

• None of the above

What is the sum of squares of the direction cosines

• 1

• r²

• 0

• None of the above

What is the sum of the squares of the direction ratio

• 1

• 0

• r²

• None of the above

The vectors 2i - 3j + 4k and - 4i + 6j - 8k are collinear

• True

• False

The vector 2i - 3j + 4k and - 4i + 6j - 8k having same directions

• True

• False

The Vectors 2i - 3j + 4k and

-4i + 6j - 8k have same magnitude

• True

• False