Find the vectors whose lengths and directions are given. Try to do the calculations without writing.LengthDirectionа. 9kb. /2-k1451-5kC.3d. 7+-Di+(Di+() k.a. The vector with length 9 and direction k is(Type exact answers, using radicals as needed.)b. The vector with length 2 and direction k isK.i+i+(Type exact answers, using radicals as needed.)143c. The vector with lengthand direction Fj-gk is2)k.i++(Type exact answers, using radicals as needed.)3d. The vector with length 7 and direction i-Gj+¬kis(Type exact answers, using radicals as needed.)

1. The vector with length 9 and direction k is 9k = 0i+0j+9k 2. The vector with length 2 and…

Answered: Find the vectors whose lengths and…

Find the vectors whose lengths and directions are given. Try to do the calculations without writing. Length Direction а. 9 b. V2 -k 1 4 3 C. 2 3 d. 7 i+ k

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.

Question

Find the vectors whose lengths and directions are given. Try to do the calculations without writing.
Length
Direction
а. 9
k
b. /2
-k
1
4
51-5k
C.
3
d. 7
+
-
Di+(Di+() k.
a. The vector with length 9 and direction k is
(Type exact answers, using radicals as needed.)
b. The vector with length 2 and direction k is
K.
i+
i+
(Type exact answers, using radicals as needed.)
1
4
3
c. The vector with length
and direction Fj-gk is
2
)k.
i+
+
(Type exact answers, using radicals as needed.)
3
d. The vector with length 7 and direction i-Gj+¬kis
(Type exact answers, using radicals as needed.)

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