﻿ If the vectors AB = 3î + 4k̂ and AC = 5î - 2

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## Vector Algebra

#### Multiple Choice Questions

1.

The Boolean Expression (p∧~q)∨q∨(~p∧q) is equivalent to:

• ~p ∧ q

• p ∧ q

• p ∨ q

• p ∨ q

246 Views

2.

Let, a, b and c be three non-zero vectors such that no two of them are collinear and if θ is the angle between vectors b and  c, then a value of sin θ is

• • • • 220 Views

# 3.If the vectors AB = 3î + 4k̂ and AC = 5î - 2ĵ + 4k̂ are the sides of a Δ ABC, then the length of the median through A is √18√72√33√45

C.

√33  174 Views

4.

Let be  two unit vectors. If the vectors and are perpendicular to each other, then the angle between is

• π/6

• π/2

• π/3

• π/3

175 Views

5.

Let ABCD be a parallelogram such that and ∠BAD be an acute angle. If is the vector that coincides with the altitude directed from the vertex B the side AD, then is given byLet ABCD be a parallelogram such that AB = q,AD = p and ∠BAD be an acute angle. If r is the vector that coincides with the altitude directed from the vertex B to the side AD, then r is given by (1)

• • • • 645 Views

6. • -5

• -3

• 5

• 5

134 Views

7.

The vector are not perpendicular  and are two vectors satisfying: The vector is equal to

• • • • 121 Views

8.

The circle x2+ y2 = 4x + 8y + 5 intersects the line 3x – 4y = m at two distinct points if

• -85 < m < -35

• -35 < m < 15

• 15 < m < 65

• 15 < m < 65

247 Views

9.

Let and . Then, the vector b satisfying a x b + c = 0  and a.b  = 3

• • • • 162 Views

10.

If the vectors are mutually orthogonal, then (λ,μ) is equal to

• (-3,2)

• (2,-3)

• (-2,3)

• (-2,3)

129 Views