Students can read the important questions given below for **Vector Algebra Class 12** Mathematics. All Vector Algebra Class 12 Notes and questions with solutions have been prepared based on the latest syllabus and examination guidelines issued by CBSE, NCERT and KVS. You should read all notes provided by us and Class 12 Mathematics Important Questions provided for all chapters to get better marks in examinations. Mathematics Question Bank Class 12 is available on our website for free download in PDF.

## Important Questions of Vector Algebra Class 12

**CASE STUDY :A class XII student appearing for a competitive examination was asked to attempt the following questions.**

## Answer

A

a. 0

b. 4

c. 3

d. 2

## Answer

A

## Answer

B

**5. The area of the parallelogram formed by**

**as diagonals is**a. 70

b. 35

c. √70/2

d. √70

## Answer

C

**CASE STUDY :Suppose the floor of a hotel is made up of mirror polished Salvatore stone. There is a large crystal chandelier attached to the ceiling of the hotel room. Consider the floor of the hotel room as a plane having the equation x – y + z = 4 and the crystal chandelier is suspended at the point (1, 0, 1).Based on the above answer the following:**

**Question. Find the direction ratios of the perpendicular from the point (1, 0, 1) to the planex – y + z = 4.**a. (-1, -1, 1)

b. (1, -1, -1)

c. (-1, -1, -1)

d. (1, -1, 1)

## Answer

D

** Question. Find the length of the perpendicular from the point (1, 0, 1) to the plane x – y + z = 4.**a. 2/√3 𝑢𝑛𝑖𝑡𝑠

b. 4/√3 𝑢𝑛𝑖𝑡𝑠

c. 6/√3 𝑢𝑛𝑖𝑡𝑠

d. 8/√3 𝑢𝑛𝑖𝑡𝑠

## Answer

A

**Question**. The equation of the perpendicular from the point (1, 0, 1) to the plane x – y + z = 4 is

## Answer

C

** Question. The equation of the plane parallel to the plane x – y + z = 4, which is at a unit distance from the point (1, 0, 1) is**a. x – y + z + (2 – √3 )

b. x – y + z – (2 + √3 )

c. x – y + z + (2 + √3 )

d. Both (a) and (c)

## Answer

D

** Question. The direction cosine of the normal to the plane x – y + z = 4 is**a. (1/√3,−1/√3,−1/√3)

b. (1/√3,−1/√3,1/√3)

c. −1/√3,−1/√3,1/√3)

d. (−1/√3,−1/√3,−1/√3)

## Answer

B