Physics, asked by sarinsergiev, 9 months ago

How can unit vector be represented mathematically?

Answers

Answered by xKALESHIxCHORAx

Answer:

$\huge\rm\underline\purple{Answer:-}$ When a unit vector in space is expressed, with Cartesian notation, as a linear combination of i, j, k, its three scalar components can be referred to as direction cosines. The value of each component is equal to the cosine of the angle formed by the unit vector with the respective basis vector. $</head><body><div class="container"><div id="cube"><div class="front">Hope It</div><div class="back">Hope It</div><div class="right">Hope It</div><div class="left">Helps</div><div class="top">Helps</div><div class="bottom">Helps</div></div></div><style>body {padding-left: 30%;padding-top: 5%;}.container {width: 200px;height: 200px;position: relative;-webkit-perspective: 1000px;-moz-perspective: 1000px;}#cube {width: 100%;height: 100%;position: absolute;-webkit-transform-style: preserve-3d;-webkit-animation: rotatecube 10s infinite;-moz-transform-style: preserve-3d;-moz-animation: rotatecube 10s infinite;}#cube div {width: 200px;height: 200px;display: block;position: absolute;border: none;line-height: 200px;text-align: center;font-size: 50px;font-weight: bold;}@-webkit-keyframes rotatecube {0% { -webkit-transform: rotateX(0deg) rotateY(360deg) rotateZ(90deg); }25% { -webkit-transform: rotateX(90deg) rotateY(270deg) rotateZ(180deg); }50% { -webkit-transform: rotateX(180deg) rotateY(180deg) rotateZ(0deg); }75% { -webkit-transform: rotateX(270deg) rotateY(90deg) rotateZ(360deg); }100% { -webkit-transform: rotateX(360deg) rotateY(0deg) rotateZ(270deg); }}@-moz-keyframes rotatecube {0% { -moz-transform: rotateX(0deg) rotateY(360deg) rotateZ(90deg); }25% { -moz-transform: rotateX(90deg) rotateY(270deg) rotateZ(180deg); }50% { -moz-transform: rotateX(180deg) rotateY(180deg) rotateZ(0deg); }75% { -moz-transform: rotateX(270deg) rotateY(90deg) rotateZ(360deg); }100% { -moz-transform: rotateX(360deg) rotateY(0deg) rotateZ(270deg); }}.front {background: rgba(255,0,0,.5);}.back {background: rgba(0,255,0,.5);}.right {background: rgba(0,0,255,.5);}.left {background: rgba(0,255,255,.5);}.top {background: rgba(255,0,255,.5);}.bottom {background: rgba(255,255,0,.5);}#cube .front {-webkit-transform: rotateY(0deg ) translateZ( 100px );-moz-transform: rotateY( 0deg ) translateZ( 100px );}#cube .back {-webkit-transform: rotateX( 180deg ) translateZ( 100px );-moz-transform: rotateX( 180deg ) translateZ( 100px );}#cube .right {-webkit-transform: rotateY( 90deg ) translateZ( 100px );-moz-transform: rotateY( 90deg ) translateZ( 100px );}#cube .left {-webkit-transform: rotateY( -90deg ) translateZ( 100px );-moz-transform: rotateY( -90deg ) translateZ( 100px );}#cube .top {-webkit-transform: rotateX( 90deg ) translateZ( 100px );-moz-transform: rotateX( 90deg ) translateZ( 100px );}#cube .bottom {-webkit-transform: rotateX( -90deg ) translateZ( 100px );-moz-transform: rotateX( -90deg ) translateZ( 100px );}</style></body></html>$

Answered by Anonymous

Explanation:

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

$\huge {\underline {\underline {\mathrm {\blue {Answer♡}}}}}$

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

When a unit vector in space is expressed, with Cartesian notation, as a linear combination of i, j, k, its three scalar components can be referred to as direction cosines. The value of each component is equal to the cosine of the angle formed by the unit vector with the respective basis vector

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

Previous Question

Next Question