Grade 11, Unit-2: Vectors

What is the result of adding the vectors A(2, 3) and B(4, -1)?

• (5, 3)

• (2, 2)

• (6, 2)

• (4, 2)

If vector C = 5i + 6j and vector D = 2i + 3j, what is C - D?

• 5i +3j

• 7i + 5j

• 3i + 3j

• 2i + 3j

Which is not correct about vectors?

• Magnitude of unit vector is 1

• Magnitude of null vector is 0

• Angle between coplanar vectors can be 0° or 180°

• Orthogonal vectors are perpendicular vectors.

If vector F = (1, 2) and you multiply it by a scalar of 3, what is the resulting vector?

• (1, 2)

• (0, 0)

• (3, 6)

• (6, 3)

Find the dot product of vectors 2i + 3j and 4i + j

• 8

• 11

• 12

• 10

What is the cross product of vectors I(1, 0, 0) and J(0, 1, 0)?

• (0, 0, 0)

• (1, 0, 0)

• (0, 0, 1)

• (0, 1, 0)

Determine the magnitude of vector V(9, 12).

• 10

• 15

• 12

• 9

Which is not true about the dot product of two vectors?

• The dot product of collinear vectors is zero

• The dot product of orthogonal vectors is zero

• The dot product is scalar

• As the angle between two vectors increases from 0° to 90°, it's dot product decreases

If vector M = 7i +4j and vector N = 3i + 1j, what is the magnitude of M - N?

• 25

• 5

• 7

• 10

Calculate the dot product of vectors i+ 2j + 3k and 4i + 5j + 6k?

• 18

• 30

• 24

• 32