Home Latest Jobs Syllabus Projects Previous Question Papers Entrance Exam Notifications Multiple Choice Question

TG EAMCET (EAPCET) Mathematic Multiple Choice Questions (MCQs)

TG EAMCET Mathematics - Vector Algebra MCQs

TG EAMCET - Mathematics: Vector Algebra (Product of Vectors) - MCQs

160. What is the scalar (dot) product of two vectors \( \vec{A} = 3\hat{i} - 2\hat{j} + 4\hat{k} \) and \( \vec{B} = \hat{i} + 2\hat{j} - \hat{k} \)?

a) 10

b) 5

c) 4

d) 2

Answer: a) 10

161. The dot product of two vectors is zero. What does this imply about the vectors?

a) The vectors are parallel

b) The vectors are perpendicular

c) The vectors are non-zero

d) The vectors have the same magnitude

Answer: b) The vectors are perpendicular

162. If \( \vec{A} = 2\hat{i} - 3\hat{j} + \hat{k} \) and \( \vec{B} = \hat{i} + \hat{j} - 2\hat{k} \), what is the angle between them?

a) 60°

b) 90°

c) 45°

d) 120°

Answer: b) 90°

163. The geometric interpretation of the scalar product of two vectors is:

a) The area of the parallelogram formed by the vectors

b) The magnitude of the vectors

c) The projection of one vector onto the other

d) The angle between the two vectors

Answer: c) The projection of one vector onto the other

164. What is the dot product of two vectors \( \vec{A} = 2\hat{i} + \hat{j} + 3\hat{k} \) and \( \vec{B} = 4\hat{i} + 2\hat{j} + \hat{k} \)?

a) 13

b) 14

c) 15

d) 12

Answer: a) 13

165. If \( \vec{A} \cdot \vec{B} = 0 \), then the vectors \( \vec{A} \) and \( \vec{B} \) are:

a) Parallel

b) Perpendicular

c) Coplanar

d) Non-coplanar

Answer: b) Perpendicular

166. The vector product (cross product) of two vectors is:

a) A scalar quantity

b) A vector quantity perpendicular to the plane of the two vectors

c) A vector parallel to the two vectors

d) Always zero

Answer: b) A vector quantity perpendicular to the plane of the two vectors

167. What is the scalar triple product of vectors \( \vec{A} = \hat{i} + 2\hat{j} + 3\hat{k} \), \( \vec{B} = 2\hat{i} + 3\hat{j} - \hat{k} \), and \( \vec{C} = 3\hat{i} - \hat{j} + 2\hat{k} \)?

a) 7

b) 8

c) 9

d) 10

Answer: b) 8

168. The vector equation of a plane in normal form is given by:

a) \( \vec{r} \cdot \hat{n} = d \)

b) \( \vec{r} \times \hat{n} = d \)

c) \( \vec{r} \cdot \hat{n} = 0 \)

d) \( \vec{r} \times \hat{n} = 0 \)

Answer: a) \( \vec{r} \cdot \hat{n} = d \)

169. If two planes \( \pi_1 \) and \( \pi_2 \) are parallel, then the angle between them is:

a) 0°

b) 90°

c) Undefined

d) 180°

Answer: a) 0°

<< Previous Page l Next Page >>

Note/Caution: studentsbizz.com does not promise a job or an interview in exchange for money. Fraudsters may ask you to pay under the pretext of a registration fee or refundable fee, but please be aware that legitimate employers will not require such payments.