# The vector having initial and terminal points as (2, 5, 0) and (–3, 7, 4), respectively is ______. - Mathematics

MCQ
Fill in the Blanks

The vector having initial and terminal points as (2, 5, 0) and (–3, 7, 4), respectively is ______.

#### Options

• -hat"i" + 12hat"j" + 4hat"k"

• 5hat"i" + 2hat"j" - 4hat"k"

• -5hat"i" + 2hat"j" + 4hat"k"

• hat"i" + hat"j" + hat"k"

#### Solution

The vector having initial and terminal points as (2, 5, 0) and (–3, 7, 4), respectively is -5hat"i" + 2hat"j" + 4hat"k".

Explanation:

Let A and B be two points whose coordinates are given as (2, 5, 0) and (– 3, 7, 4)

∴ vec"AB" = (-3 - 2)hat"i" + (7 - 5)hat"j" + (4 - 0)hat"k"

⇒ vec"AB" = -5hat"i" + 2hat"j" + 4hat"k"

Concept: Vector Joining Two Points
Is there an error in this question or solution?

#### APPEARS IN

NCERT Mathematics Exemplar Class 12
Chapter 10 Vector Algebra
Exercise | Q 21 | Page 217